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Finding the Fourth Proportional to 418,685.76, 577,790.56 and 227,703.44

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Solution

The fourth proportional to 418,685.76, 577,790.56 and 227,703.44 is: 314,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,685.76 : 577,790.56 = 227,703.44 : x
  2. Step 2: Convert to fraction form
    418,685.76/577,790.56 = 227,703.44/x
  3. Step 3: Cross multiply
    418,685.76x = 577,790.56 × 227,703.44
  4. Step 4: Simplify right side
    418,685.76x = 131,564,898,111.53
  5. Step 5: Solve for x
    x = 131,564,898,111.53/418,685.76
  6. Step 6: Final answer
    x = 314,233.04

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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.