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Finding the Fourth Proportional to 331,712, 457,762.68 and 188,472.20

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Solution

The fourth proportional to 331,712, 457,762.68 and 188,472.20 is: 260,091.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,712 : 457,762.68 = 188,472.20 : x
  2. Step 2: Convert to fraction form
    331,712/457,762.68 = 188,472.20/x
  3. Step 3: Cross multiply
    331,712x = 457,762.68 × 188,472.20
  4. Step 4: Simplify right side
    331,712x = 86,275,539,377.50
  5. Step 5: Solve for x
    x = 86,275,539,377.50/331,712
  6. Step 6: Final answer
    x = 260,091.70

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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.