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Finding the Fourth Proportional to 489,937,510.30, 734,906,265.45 and 486,536,287.90

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Solution

The fourth proportional to 489,937,510.30, 734,906,265.45 and 486,536,287.90 is: 729,804,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,937,510.30 : 734,906,265.45 = 486,536,287.90 : x
  2. Step 2: Convert to fraction form
    489,937,510.30/734,906,265.45 = 486,536,287.90/x
  3. Step 3: Cross multiply
    489,937,510.30x = 734,906,265.45 × 486,536,287.90
  4. Step 4: Simplify right side
    489,937,510.30x = 357,558,566,346,495,040
  5. Step 5: Solve for x
    x = 357,558,566,346,495,040/489,937,510.30
  6. Step 6: Final answer
    x = 729,804,431.85

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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.