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Finding the Fourth Proportional to 488,593,802.90, 732,890,704.35 and 440,220,862.10

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Solution

The fourth proportional to 488,593,802.90, 732,890,704.35 and 440,220,862.10 is: 660,331,293.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,593,802.90 : 732,890,704.35 = 440,220,862.10 : x
  2. Step 2: Convert to fraction form
    488,593,802.90/732,890,704.35 = 440,220,862.10/x
  3. Step 3: Cross multiply
    488,593,802.90x = 732,890,704.35 × 440,220,862.10
  4. Step 4: Simplify right side
    488,593,802.90x = 322,633,777,694,033,280
  5. Step 5: Solve for x
    x = 322,633,777,694,033,280/488,593,802.90
  6. Step 6: Final answer
    x = 660,331,293.15

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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.