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Finding the Fourth Proportional to 418,887.65, 578,070.88 and 227,901.20

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Solution

The fourth proportional to 418,887.65, 578,070.88 and 227,901.20 is: 314,506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,887.65 : 578,070.88 = 227,901.20 : x
  2. Step 2: Convert to fraction form
    418,887.65/578,070.88 = 227,901.20/x
  3. Step 3: Cross multiply
    418,887.65x = 578,070.88 × 227,901.20
  4. Step 4: Simplify right side
    418,887.65x = 131,743,043,776.95
  5. Step 5: Solve for x
    x = 131,743,043,776.95/418,887.65
  6. Step 6: Final answer
    x = 314,506.87

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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.