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Finding the Fourth Proportional to 531,915.20, 734,168.96 and 305,691.84

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Solution

The fourth proportional to 531,915.20, 734,168.96 and 305,691.84 is: 421,927.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,915.20 : 734,168.96 = 305,691.84 : x
  2. Step 2: Convert to fraction form
    531,915.20/734,168.96 = 305,691.84/x
  3. Step 3: Cross multiply
    531,915.20x = 734,168.96 × 305,691.84
  4. Step 4: Simplify right side
    531,915.20x = 224,429,460,253.29
  5. Step 5: Solve for x
    x = 224,429,460,253.29/531,915.20
  6. Step 6: Final answer
    x = 421,927.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.