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Finding the Fourth Proportional to 497,378.48, 686,082.96 and 303,697.76

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Solution

The fourth proportional to 497,378.48, 686,082.96 and 303,697.76 is: 418,920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,378.48 : 686,082.96 = 303,697.76 : x
  2. Step 2: Convert to fraction form
    497,378.48/686,082.96 = 303,697.76/x
  3. Step 3: Cross multiply
    497,378.48x = 686,082.96 × 303,697.76
  4. Step 4: Simplify right side
    497,378.48x = 208,361,854,695.76
  5. Step 5: Solve for x
    x = 208,361,854,695.76/497,378.48
  6. Step 6: Final answer
    x = 418,920.13

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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.