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Finding the Fourth Proportional to 753,458, 1,039,772.46 and 413,948.12

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Solution

The fourth proportional to 753,458, 1,039,772.46 and 413,948.12 is: 571,248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,458 : 1,039,772.46 = 413,948.12 : x
  2. Step 2: Convert to fraction form
    753,458/1,039,772.46 = 413,948.12/x
  3. Step 3: Cross multiply
    753,458x = 1,039,772.46 × 413,948.12
  4. Step 4: Simplify right side
    753,458x = 430,411,855,044.78
  5. Step 5: Solve for x
    x = 430,411,855,044.78/753,458
  6. Step 6: Final answer
    x = 571,248.64

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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.