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Finding the Fourth Proportional to 704,149.68, 971,721.24 and 381,860.40

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Solution

The fourth proportional to 704,149.68, 971,721.24 and 381,860.40 is: 526,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,149.68 : 971,721.24 = 381,860.40 : x
  2. Step 2: Convert to fraction form
    704,149.68/971,721.24 = 381,860.40/x
  3. Step 3: Cross multiply
    704,149.68x = 971,721.24 × 381,860.40
  4. Step 4: Simplify right side
    704,149.68x = 371,061,861,394.90
  5. Step 5: Solve for x
    x = 371,061,861,394.90/704,149.68
  6. Step 6: Final answer
    x = 526,964.47

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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.