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Finding the Fourth Proportional to 513,068.92, 708,036.07 and 286,714.42

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Solution

The fourth proportional to 513,068.92, 708,036.07 and 286,714.42 is: 395,666.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,068.92 : 708,036.07 = 286,714.42 : x
  2. Step 2: Convert to fraction form
    513,068.92/708,036.07 = 286,714.42/x
  3. Step 3: Cross multiply
    513,068.92x = 708,036.07 × 286,714.42
  4. Step 4: Simplify right side
    513,068.92x = 203,004,151,149.13
  5. Step 5: Solve for x
    x = 203,004,151,149.13/513,068.92
  6. Step 6: Final answer
    x = 395,666.44

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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.