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Finding the Fourth Proportional to 781,462, 1,172,345.28 and 332,177.68

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Solution

The fourth proportional to 781,462, 1,172,345.28 and 332,177.68 is: 498,331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,462 : 1,172,345.28 = 332,177.68 : x
  2. Step 2: Convert to fraction form
    781,462/1,172,345.28 = 332,177.68/x
  3. Step 3: Cross multiply
    781,462x = 1,172,345.28 × 332,177.68
  4. Step 4: Simplify right side
    781,462x = 389,426,935,269.35
  5. Step 5: Solve for x
    x = 389,426,935,269.35/781,462
  6. Step 6: Final answer
    x = 498,331.25

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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.