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Finding the Fourth Proportional to 434,343, 651,354.72 and 149,961.30

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Solution

The fourth proportional to 434,343, 651,354.72 and 149,961.30 is: 224,886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,343 : 651,354.72 = 149,961.30 : x
  2. Step 2: Convert to fraction form
    434,343/651,354.72 = 149,961.30/x
  3. Step 3: Cross multiply
    434,343x = 651,354.72 × 149,961.30
  4. Step 4: Simplify right side
    434,343x = 97,678,000,572.34
  5. Step 5: Solve for x
    x = 97,678,000,572.34/434,343
  6. Step 6: Final answer
    x = 224,886.78

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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.