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Finding the Fourth Proportional to 289,932.72, 435,024.16 and 156,906.80

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Solution

The fourth proportional to 289,932.72, 435,024.16 and 156,906.80 is: 235,427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,932.72 : 435,024.16 = 156,906.80 : x
  2. Step 2: Convert to fraction form
    289,932.72/435,024.16 = 156,906.80/x
  3. Step 3: Cross multiply
    289,932.72x = 435,024.16 × 156,906.80
  4. Step 4: Simplify right side
    289,932.72x = 68,258,248,868.29
  5. Step 5: Solve for x
    x = 68,258,248,868.29/289,932.72
  6. Step 6: Final answer
    x = 235,427.89

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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.