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Finding the Fourth Proportional to 489,937,488.80, 734,906,233.20 and 486,536,266.40

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Solution

The fourth proportional to 489,937,488.80, 734,906,233.20 and 486,536,266.40 is: 729,804,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,937,488.80 : 734,906,233.20 = 486,536,266.40 : x
  2. Step 2: Convert to fraction form
    489,937,488.80/734,906,233.20 = 486,536,266.40/x
  3. Step 3: Cross multiply
    489,937,488.80x = 734,906,233.20 × 486,536,266.40
  4. Step 4: Simplify right side
    489,937,488.80x = 357,558,534,855,215,744
  5. Step 5: Solve for x
    x = 357,558,534,855,215,744/489,937,488.80
  6. Step 6: Final answer
    x = 729,804,399.60

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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.