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Finding the Fourth Proportional to 516,442.14, 712,707.46 and 287,009.10

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Solution

The fourth proportional to 516,442.14, 712,707.46 and 287,009.10 is: 396,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,442.14 : 712,707.46 = 287,009.10 : x
  2. Step 2: Convert to fraction form
    516,442.14/712,707.46 = 287,009.10/x
  3. Step 3: Cross multiply
    516,442.14x = 712,707.46 × 287,009.10
  4. Step 4: Simplify right side
    516,442.14x = 204,553,523,094.35
  5. Step 5: Solve for x
    x = 204,553,523,094.35/516,442.14
  6. Step 6: Final answer
    x = 396,082.17

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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.