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Finding the Fourth Proportional to 418,400.65, 577,670.95 and 321,431.79

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Solution

The fourth proportional to 418,400.65, 577,670.95 and 321,431.79 is: 443,789.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,400.65 : 577,670.95 = 321,431.79 : x
  2. Step 2: Convert to fraction form
    418,400.65/577,670.95 = 321,431.79/x
  3. Step 3: Cross multiply
    418,400.65x = 577,670.95 × 321,431.79
  4. Step 4: Simplify right side
    418,400.65x = 185,681,807,489.50
  5. Step 5: Solve for x
    x = 185,681,807,489.50/418,400.65
  6. Step 6: Final answer
    x = 443,789.48

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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.