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Finding the Fourth Proportional to 427,024.46, 640,603.11 and 142,626.98

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Solution

The fourth proportional to 427,024.46, 640,603.11 and 142,626.98 is: 213,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,024.46 : 640,603.11 = 142,626.98 : x
  2. Step 2: Convert to fraction form
    427,024.46/640,603.11 = 142,626.98/x
  3. Step 3: Cross multiply
    427,024.46x = 640,603.11 × 142,626.98
  4. Step 4: Simplify right side
    427,024.46x = 91,367,286,957.91
  5. Step 5: Solve for x
    x = 91,367,286,957.91/427,024.46
  6. Step 6: Final answer
    x = 213,962.65

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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.