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Finding the Fourth Proportional to 257,312.75, 386,006.33 and 97,345.31

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Solution

The fourth proportional to 257,312.75, 386,006.33 and 97,345.31 is: 146,032.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,312.75 : 386,006.33 = 97,345.31 : x
  2. Step 2: Convert to fraction form
    257,312.75/386,006.33 = 97,345.31/x
  3. Step 3: Cross multiply
    257,312.75x = 386,006.33 × 97,345.31
  4. Step 4: Simplify right side
    257,312.75x = 37,575,904,169.14
  5. Step 5: Solve for x
    x = 37,575,904,169.14/257,312.75
  6. Step 6: Final answer
    x = 146,032.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.