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Finding the Fourth Proportional to 647,044,374.60, 970,566,561.90 and 493,989,366.60

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Solution

The fourth proportional to 647,044,374.60, 970,566,561.90 and 493,989,366.60 is: 740,984,049.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,044,374.60 : 970,566,561.90 = 493,989,366.60 : x
  2. Step 2: Convert to fraction form
    647,044,374.60/970,566,561.90 = 493,989,366.60/x
  3. Step 3: Cross multiply
    647,044,374.60x = 970,566,561.90 × 493,989,366.60
  4. Step 4: Simplify right side
    647,044,374.60x = 479,449,561,156,120,704
  5. Step 5: Solve for x
    x = 479,449,561,156,120,704/647,044,374.60
  6. Step 6: Final answer
    x = 740,984,049.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.