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Finding the Fourth Proportional to 409,146.12, 564,619.86 and 227,860.20

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Solution

The fourth proportional to 409,146.12, 564,619.86 and 227,860.20 is: 314,446.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,146.12 : 564,619.86 = 227,860.20 : x
  2. Step 2: Convert to fraction form
    409,146.12/564,619.86 = 227,860.20/x
  3. Step 3: Cross multiply
    409,146.12x = 564,619.86 × 227,860.20
  4. Step 4: Simplify right side
    409,146.12x = 128,654,394,223.57
  5. Step 5: Solve for x
    x = 128,654,394,223.57/409,146.12
  6. Step 6: Final answer
    x = 314,446.08

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1.5x scale

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.