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Finding the Fourth Proportional to 431,664,274.60, 647,496,411.90 and 386,314,642.60

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Solution

The fourth proportional to 431,664,274.60, 647,496,411.90 and 386,314,642.60 is: 579,471,963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,664,274.60 : 647,496,411.90 = 386,314,642.60 : x
  2. Step 2: Convert to fraction form
    431,664,274.60/647,496,411.90 = 386,314,642.60/x
  3. Step 3: Cross multiply
    431,664,274.60x = 647,496,411.90 × 386,314,642.60
  4. Step 4: Simplify right side
    431,664,274.60x = 250,137,344,947,930,880
  5. Step 5: Solve for x
    x = 250,137,344,947,930,880/431,664,274.60
  6. Step 6: Final answer
    x = 579,471,963.90

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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.