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Finding the Fourth Proportional to 418,712.37, 577,825.80 and 227,727.15

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Solution

The fourth proportional to 418,712.37, 577,825.80 and 227,727.15 is: 314,264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,712.37 : 577,825.80 = 227,727.15 : x
  2. Step 2: Convert to fraction form
    418,712.37/577,825.80 = 227,727.15/x
  3. Step 3: Cross multiply
    418,712.37x = 577,825.80 × 227,727.15
  4. Step 4: Simplify right side
    418,712.37x = 131,586,622,630.47
  5. Step 5: Solve for x
    x = 131,586,622,630.47/418,712.37
  6. Step 6: Final answer
    x = 314,264.95

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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.