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Finding the Fourth Proportional to 704,140.88, 971,705.21 and 381,849.30

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Solution

The fourth proportional to 704,140.88, 971,705.21 and 381,849.30 is: 526,947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,140.88 : 971,705.21 = 381,849.30 : x
  2. Step 2: Convert to fraction form
    704,140.88/971,705.21 = 381,849.30/x
  3. Step 3: Cross multiply
    704,140.88x = 971,705.21 × 381,849.30
  4. Step 4: Simplify right side
    704,140.88x = 371,044,952,335.61
  5. Step 5: Solve for x
    x = 371,044,952,335.61/704,140.88
  6. Step 6: Final answer
    x = 526,947.04

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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.