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Finding the Fourth Proportional to 409,035.06, 564,179.76 and 354,488.55

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Solution

The fourth proportional to 409,035.06, 564,179.76 and 354,488.55 is: 488,944.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,035.06 : 564,179.76 = 354,488.55 : x
  2. Step 2: Convert to fraction form
    409,035.06/564,179.76 = 354,488.55/x
  3. Step 3: Cross multiply
    409,035.06x = 564,179.76 × 354,488.55
  4. Step 4: Simplify right side
    409,035.06x = 199,995,265,061.75
  5. Step 5: Solve for x
    x = 199,995,265,061.75/409,035.06
  6. Step 6: Final answer
    x = 488,944.07

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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.