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Finding the Fourth Proportional to 409,267.08, 564,780.06 and 227,978.76

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Solution

The fourth proportional to 409,267.08, 564,780.06 and 227,978.76 is: 314,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,267.08 : 564,780.06 = 227,978.76 : x
  2. Step 2: Convert to fraction form
    409,267.08/564,780.06 = 227,978.76/x
  3. Step 3: Cross multiply
    409,267.08x = 564,780.06 × 227,978.76
  4. Step 4: Simplify right side
    409,267.08x = 128,757,857,751.53
  5. Step 5: Solve for x
    x = 128,757,857,751.53/409,267.08
  6. Step 6: Final answer
    x = 314,605.95

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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.