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Finding the Fourth Proportional to 512,097.31, 706,690.47 and 282,654.55

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Solution

The fourth proportional to 512,097.31, 706,690.47 and 282,654.55 is: 390,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,097.31 : 706,690.47 = 282,654.55 : x
  2. Step 2: Convert to fraction form
    512,097.31/706,690.47 = 282,654.55/x
  3. Step 3: Cross multiply
    512,097.31x = 706,690.47 × 282,654.55
  4. Step 4: Simplify right side
    512,097.31x = 199,749,276,787.14
  5. Step 5: Solve for x
    x = 199,749,276,787.14/512,097.31
  6. Step 6: Final answer
    x = 390,061.17

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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.