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Finding the Fourth Proportional to 664,849,781.80, 997,274,672.70 and 442,920,020.20

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Solution

The fourth proportional to 664,849,781.80, 997,274,672.70 and 442,920,020.20 is: 664,380,030.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,849,781.80 : 997,274,672.70 = 442,920,020.20 : x
  2. Step 2: Convert to fraction form
    664,849,781.80/997,274,672.70 = 442,920,020.20/x
  3. Step 3: Cross multiply
    664,849,781.80x = 997,274,672.70 × 442,920,020.20
  4. Step 4: Simplify right side
    664,849,781.80x = 441,712,918,177,232,384
  5. Step 5: Solve for x
    x = 441,712,918,177,232,384/664,849,781.80
  6. Step 6: Final answer
    x = 664,380,030.30

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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.