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Finding the Fourth Proportional to 435,777.12, 653,647.86 and 120,225.96

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Solution

The fourth proportional to 435,777.12, 653,647.86 and 120,225.96 is: 180,334.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,777.12 : 653,647.86 = 120,225.96 : x
  2. Step 2: Convert to fraction form
    435,777.12/653,647.86 = 120,225.96/x
  3. Step 3: Cross multiply
    435,777.12x = 653,647.86 × 120,225.96
  4. Step 4: Simplify right side
    435,777.12x = 78,585,441,470.45
  5. Step 5: Solve for x
    x = 78,585,441,470.45/435,777.12
  6. Step 6: Final answer
    x = 180,334.02

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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.