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Finding the Fourth Proportional to 707,565.80, 974,780.10 and 492,335.72

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Solution

The fourth proportional to 707,565.80, 974,780.10 and 492,335.72 is: 678,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,565.80 : 974,780.10 = 492,335.72 : x
  2. Step 2: Convert to fraction form
    707,565.80/974,780.10 = 492,335.72/x
  3. Step 3: Cross multiply
    707,565.80x = 974,780.10 × 492,335.72
  4. Step 4: Simplify right side
    707,565.80x = 479,919,062,375.17
  5. Step 5: Solve for x
    x = 479,919,062,375.17/707,565.80
  6. Step 6: Final answer
    x = 678,267.75

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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.