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Finding the Fourth Proportional to 418,254.49, 577,194.71 and 227,267.90

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Solution

The fourth proportional to 418,254.49, 577,194.71 and 227,267.90 is: 313,631.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,254.49 : 577,194.71 = 227,267.90 : x
  2. Step 2: Convert to fraction form
    418,254.49/577,194.71 = 227,267.90/x
  3. Step 3: Cross multiply
    418,254.49x = 577,194.71 × 227,267.90
  4. Step 4: Simplify right side
    418,254.49x = 131,177,826,746.84
  5. Step 5: Solve for x
    x = 131,177,826,746.84/418,254.49
  6. Step 6: Final answer
    x = 313,631.61

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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.