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Finding the Fourth Proportional to 418,655.64, 577,759.94 and 239,842.20

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Solution

The fourth proportional to 418,655.64, 577,759.94 and 239,842.20 is: 330,990.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,655.64 : 577,759.94 = 239,842.20 : x
  2. Step 2: Convert to fraction form
    418,655.64/577,759.94 = 239,842.20/x
  3. Step 3: Cross multiply
    418,655.64x = 577,759.94 × 239,842.20
  4. Step 4: Simplify right side
    418,655.64x = 138,571,215,081.47
  5. Step 5: Solve for x
    x = 138,571,215,081.47/418,655.64
  6. Step 6: Final answer
    x = 330,990.92

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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.