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Finding the Fourth Proportional to 408,703.59, 564,010.95 and 227,427.20

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Solution

The fourth proportional to 408,703.59, 564,010.95 and 227,427.20 is: 313,849.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,703.59 : 564,010.95 = 227,427.20 : x
  2. Step 2: Convert to fraction form
    408,703.59/564,010.95 = 227,427.20/x
  3. Step 3: Cross multiply
    408,703.59x = 564,010.95 × 227,427.20
  4. Step 4: Simplify right side
    408,703.59x = 128,271,428,307.79
  5. Step 5: Solve for x
    x = 128,271,428,307.79/408,703.59
  6. Step 6: Final answer
    x = 313,849.53

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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.