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Finding the Fourth Proportional to 513,145.60, 708,139.16 and 286,791.10

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Solution

The fourth proportional to 513,145.60, 708,139.16 and 286,791.10 is: 395,770.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,145.60 : 708,139.16 = 286,791.10 : x
  2. Step 2: Convert to fraction form
    513,145.60/708,139.16 = 286,791.10/x
  3. Step 3: Cross multiply
    513,145.60x = 708,139.16 × 286,791.10
  4. Step 4: Simplify right side
    513,145.60x = 203,088,006,520.64
  5. Step 5: Solve for x
    x = 203,088,006,520.64/513,145.60
  6. Step 6: Final answer
    x = 395,770.73

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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.