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Finding the Fourth Proportional to 429,841.46, 644,313.72 and 240,023.54

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Solution

The fourth proportional to 429,841.46, 644,313.72 and 240,023.54 is: 359,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,841.46 : 644,313.72 = 240,023.54 : x
  2. Step 2: Convert to fraction form
    429,841.46/644,313.72 = 240,023.54/x
  3. Step 3: Cross multiply
    429,841.46x = 644,313.72 × 240,023.54
  4. Step 4: Simplify right side
    429,841.46x = 154,650,459,944.97
  5. Step 5: Solve for x
    x = 154,650,459,944.97/429,841.46
  6. Step 6: Final answer
    x = 359,784.88

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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.