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Finding the Fourth Proportional to 513,069.42, 708,036.76 and 286,714.92

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Solution

The fourth proportional to 513,069.42, 708,036.76 and 286,714.92 is: 395,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,069.42 : 708,036.76 = 286,714.92 : x
  2. Step 2: Convert to fraction form
    513,069.42/708,036.76 = 286,714.92/x
  3. Step 3: Cross multiply
    513,069.42x = 708,036.76 × 286,714.92
  4. Step 4: Simplify right side
    513,069.42x = 203,004,703,000.46
  5. Step 5: Solve for x
    x = 203,004,703,000.46/513,069.42
  6. Step 6: Final answer
    x = 395,667.13

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.