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Finding the Fourth Proportional to 466,045.38, 643,248.81 and 329,937.84

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Solution

The fourth proportional to 466,045.38, 643,248.81 and 329,937.84 is: 455,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,045.38 : 643,248.81 = 329,937.84 : x
  2. Step 2: Convert to fraction form
    466,045.38/643,248.81 = 329,937.84/x
  3. Step 3: Cross multiply
    466,045.38x = 643,248.81 × 329,937.84
  4. Step 4: Simplify right side
    466,045.38x = 212,232,122,953.97
  5. Step 5: Solve for x
    x = 212,232,122,953.97/466,045.38
  6. Step 6: Final answer
    x = 455,389.39

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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.