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Finding the Fourth Proportional to 402,711.72, 604,534.20 and 216,087.72

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Solution

The fourth proportional to 402,711.72, 604,534.20 and 216,087.72 is: 324,381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,711.72 : 604,534.20 = 216,087.72 : x
  2. Step 2: Convert to fraction form
    402,711.72/604,534.20 = 216,087.72/x
  3. Step 3: Cross multiply
    402,711.72x = 604,534.20 × 216,087.72
  4. Step 4: Simplify right side
    402,711.72x = 130,632,416,940.02
  5. Step 5: Solve for x
    x = 130,632,416,940.02/402,711.72
  6. Step 6: Final answer
    x = 324,381.96

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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.