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Finding the Fourth Proportional to 435,781.98, 653,710.67 and 120,238.85

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Solution

The fourth proportional to 435,781.98, 653,710.67 and 120,238.85 is: 180,368.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,781.98 : 653,710.67 = 120,238.85 : x
  2. Step 2: Convert to fraction form
    435,781.98/653,710.67 = 120,238.85/x
  3. Step 3: Cross multiply
    435,781.98x = 653,710.67 × 120,238.85
  4. Step 4: Simplify right side
    435,781.98x = 78,601,420,677.51
  5. Step 5: Solve for x
    x = 78,601,420,677.51/435,781.98
  6. Step 6: Final answer
    x = 180,368.68

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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.