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Finding the Fourth Proportional to 408,646.61, 563,921.57 and 227,358.89

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Solution

The fourth proportional to 408,646.61, 563,921.57 and 227,358.89 is: 313,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,646.61 : 563,921.57 = 227,358.89 : x
  2. Step 2: Convert to fraction form
    408,646.61/563,921.57 = 227,358.89/x
  3. Step 3: Cross multiply
    408,646.61x = 563,921.57 × 227,358.89
  4. Step 4: Simplify right side
    408,646.61x = 128,212,581,065.46
  5. Step 5: Solve for x
    x = 128,212,581,065.46/408,646.61
  6. Step 6: Final answer
    x = 313,749.28

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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.