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Finding the Fourth Proportional to 354,234.56, 531,359.13 and 143,728.52

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Solution

The fourth proportional to 354,234.56, 531,359.13 and 143,728.52 is: 215,595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,234.56 : 531,359.13 = 143,728.52 : x
  2. Step 2: Convert to fraction form
    354,234.56/531,359.13 = 143,728.52/x
  3. Step 3: Cross multiply
    354,234.56x = 531,359.13 × 143,728.52
  4. Step 4: Simplify right side
    354,234.56x = 76,371,461,343.39
  5. Step 5: Solve for x
    x = 76,371,461,343.39/354,234.56
  6. Step 6: Final answer
    x = 215,595.74

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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.