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Finding the Fourth Proportional to 661,013.12, 989,981.87 and 642,830.24

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Solution

The fourth proportional to 661,013.12, 989,981.87 and 642,830.24 is: 962,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,013.12 : 989,981.87 = 642,830.24 : x
  2. Step 2: Convert to fraction form
    661,013.12/989,981.87 = 642,830.24/x
  3. Step 3: Cross multiply
    661,013.12x = 989,981.87 × 642,830.24
  4. Step 4: Simplify right side
    661,013.12x = 636,390,282,348.55
  5. Step 5: Solve for x
    x = 636,390,282,348.55/661,013.12
  6. Step 6: Final answer
    x = 962,749.85

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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.