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Finding the Fourth Proportional to 650,602.56, 897,724.76 and 408,713.88

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Solution

The fourth proportional to 650,602.56, 897,724.76 and 408,713.88 is: 563,958.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,602.56 : 897,724.76 = 408,713.88 : x
  2. Step 2: Convert to fraction form
    650,602.56/897,724.76 = 408,713.88/x
  3. Step 3: Cross multiply
    650,602.56x = 897,724.76 × 408,713.88
  4. Step 4: Simplify right side
    650,602.56x = 366,912,571,154.57
  5. Step 5: Solve for x
    x = 366,912,571,154.57/650,602.56
  6. Step 6: Final answer
    x = 563,958.08

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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.