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Finding the Fourth Proportional to 466,358.29, 643,603.78 and 282,612.95

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Solution

The fourth proportional to 466,358.29, 643,603.78 and 282,612.95 is: 390,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,358.29 : 643,603.78 = 282,612.95 : x
  2. Step 2: Convert to fraction form
    466,358.29/643,603.78 = 282,612.95/x
  3. Step 3: Cross multiply
    466,358.29x = 643,603.78 × 282,612.95
  4. Step 4: Simplify right side
    466,358.29x = 181,890,762,896.95
  5. Step 5: Solve for x
    x = 181,890,762,896.95/466,358.29
  6. Step 6: Final answer
    x = 390,023.65

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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.