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Finding the Fourth Proportional to 498,317.76, 687,462.78 and 304,733.93

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Solution

The fourth proportional to 498,317.76, 687,462.78 and 304,733.93 is: 420,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,317.76 : 687,462.78 = 304,733.93 : x
  2. Step 2: Convert to fraction form
    498,317.76/687,462.78 = 304,733.93/x
  3. Step 3: Cross multiply
    498,317.76x = 687,462.78 × 304,733.93
  4. Step 4: Simplify right side
    498,317.76x = 209,493,234,678.13
  5. Step 5: Solve for x
    x = 209,493,234,678.13/498,317.76
  6. Step 6: Final answer
    x = 420,400.90

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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.