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Finding the Fourth Proportional to 435,765.64, 653,686.13 and 120,222.54

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Solution

The fourth proportional to 435,765.64, 653,686.13 and 120,222.54 is: 180,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,765.64 : 653,686.13 = 120,222.54 : x
  2. Step 2: Convert to fraction form
    435,765.64/653,686.13 = 120,222.54/x
  3. Step 3: Cross multiply
    435,765.64x = 653,686.13 × 120,222.54
  4. Step 4: Simplify right side
    435,765.64x = 78,587,806,911.37
  5. Step 5: Solve for x
    x = 78,587,806,911.37/435,765.64
  6. Step 6: Final answer
    x = 180,344.20

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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.