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Finding the Fourth Proportional to 650,316.50, 897,133.62 and 420,947.60

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Solution

The fourth proportional to 650,316.50, 897,133.62 and 420,947.60 is: 580,711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,316.50 : 897,133.62 = 420,947.60 : x
  2. Step 2: Convert to fraction form
    650,316.50/897,133.62 = 420,947.60/x
  3. Step 3: Cross multiply
    650,316.50x = 897,133.62 × 420,947.60
  4. Step 4: Simplify right side
    650,316.50x = 377,646,244,218.31
  5. Step 5: Solve for x
    x = 377,646,244,218.31/650,316.50
  6. Step 6: Final answer
    x = 580,711.46

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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.