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Finding the Fourth Proportional to 497,154.56, 745,889.28 and 319,861.76

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Solution

The fourth proportional to 497,154.56, 745,889.28 and 319,861.76 is: 479,893.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,154.56 : 745,889.28 = 319,861.76 : x
  2. Step 2: Convert to fraction form
    497,154.56/745,889.28 = 319,861.76/x
  3. Step 3: Cross multiply
    497,154.56x = 745,889.28 × 319,861.76
  4. Step 4: Simplify right side
    497,154.56x = 238,581,457,865.93
  5. Step 5: Solve for x
    x = 238,581,457,865.93/497,154.56
  6. Step 6: Final answer
    x = 479,893.93

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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.