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Finding the Fourth Proportional to 421,658.61, 632,487.89 and 122,139.29

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Solution

The fourth proportional to 421,658.61, 632,487.89 and 122,139.29 is: 183,208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,658.61 : 632,487.89 = 122,139.29 : x
  2. Step 2: Convert to fraction form
    421,658.61/632,487.89 = 122,139.29/x
  3. Step 3: Cross multiply
    421,658.61x = 632,487.89 × 122,139.29
  4. Step 4: Simplify right side
    421,658.61x = 77,251,623,704.77
  5. Step 5: Solve for x
    x = 77,251,623,704.77/421,658.61
  6. Step 6: Final answer
    x = 183,208.93

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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.