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Finding the Fourth Proportional to 257,539.54, 386,420.31 and 139,294.12

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Solution

The fourth proportional to 257,539.54, 386,420.31 and 139,294.12 is: 209,001.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,539.54 : 386,420.31 = 139,294.12 : x
  2. Step 2: Convert to fraction form
    257,539.54/386,420.31 = 139,294.12/x
  3. Step 3: Cross multiply
    257,539.54x = 386,420.31 × 139,294.12
  4. Step 4: Simplify right side
    257,539.54x = 53,826,074,403.01
  5. Step 5: Solve for x
    x = 53,826,074,403.01/257,539.54
  6. Step 6: Final answer
    x = 209,001.21

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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.