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Finding the Fourth Proportional to 617,920.70, 926,881.05 and 428,963.90

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Solution

The fourth proportional to 617,920.70, 926,881.05 and 428,963.90 is: 643,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,920.70 : 926,881.05 = 428,963.90 : x
  2. Step 2: Convert to fraction form
    617,920.70/926,881.05 = 428,963.90/x
  3. Step 3: Cross multiply
    617,920.70x = 926,881.05 × 428,963.90
  4. Step 4: Simplify right side
    617,920.70x = 397,598,510,044.10
  5. Step 5: Solve for x
    x = 397,598,510,044.10/617,920.70
  6. Step 6: Final answer
    x = 643,445.85

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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.