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Finding the Fourth Proportional to 432,347.76, 649,505.78 and 312,773.53

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Solution

The fourth proportional to 432,347.76, 649,505.78 and 312,773.53 is: 469,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,347.76 : 649,505.78 = 312,773.53 : x
  2. Step 2: Convert to fraction form
    432,347.76/649,505.78 = 312,773.53/x
  3. Step 3: Cross multiply
    432,347.76x = 649,505.78 × 312,773.53
  4. Step 4: Simplify right side
    432,347.76x = 203,148,215,566.00
  5. Step 5: Solve for x
    x = 203,148,215,566.00/432,347.76
  6. Step 6: Final answer
    x = 469,872.25

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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.