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Finding the Fourth Proportional to 497,664,388.80, 746,496,583.20 and 418,834,411.20

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Solution

The fourth proportional to 497,664,388.80, 746,496,583.20 and 418,834,411.20 is: 628,251,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,388.80 : 746,496,583.20 = 418,834,411.20 : x
  2. Step 2: Convert to fraction form
    497,664,388.80/746,496,583.20 = 418,834,411.20/x
  3. Step 3: Cross multiply
    497,664,388.80x = 746,496,583.20 × 418,834,411.20
  4. Step 4: Simplify right side
    497,664,388.80x = 312,658,456,887,383,808
  5. Step 5: Solve for x
    x = 312,658,456,887,383,808/497,664,388.80
  6. Step 6: Final answer
    x = 628,251,616.80

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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.