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Finding the Fourth Proportional to 468,519.53, 647,646.50 and 418,032.63

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Solution

The fourth proportional to 468,519.53, 647,646.50 and 418,032.63 is: 577,857.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,519.53 : 647,646.50 = 418,032.63 : x
  2. Step 2: Convert to fraction form
    468,519.53/647,646.50 = 418,032.63/x
  3. Step 3: Cross multiply
    468,519.53x = 647,646.50 × 418,032.63
  4. Step 4: Simplify right side
    468,519.53x = 270,737,370,750.38
  5. Step 5: Solve for x
    x = 270,737,370,750.38/468,519.53
  6. Step 6: Final answer
    x = 577,857.18

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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.