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Finding the Fourth Proportional to 489,903,996.60, 735,950,855.70 and 409,282,428.60

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Solution

The fourth proportional to 489,903,996.60, 735,950,855.70 and 409,282,428.60 is: 614,838,326.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,903,996.60 : 735,950,855.70 = 409,282,428.60 : x
  2. Step 2: Convert to fraction form
    489,903,996.60/735,950,855.70 = 409,282,428.60/x
  3. Step 3: Cross multiply
    489,903,996.60x = 735,950,855.70 × 409,282,428.60
  4. Step 4: Simplify right side
    489,903,996.60x = 301,211,753,551,144,192
  5. Step 5: Solve for x
    x = 301,211,753,551,144,192/489,903,996.60
  6. Step 6: Final answer
    x = 614,838,326.78

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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.