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Finding the Fourth Proportional to 650,155.70, 974,347.74 and 313,171.80

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Solution

The fourth proportional to 650,155.70, 974,347.74 and 313,171.80 is: 469,331.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,155.70 : 974,347.74 = 313,171.80 : x
  2. Step 2: Convert to fraction form
    650,155.70/974,347.74 = 313,171.80/x
  3. Step 3: Cross multiply
    650,155.70x = 974,347.74 × 313,171.80
  4. Step 4: Simplify right side
    650,155.70x = 305,138,235,561.73
  5. Step 5: Solve for x
    x = 305,138,235,561.73/650,155.70
  6. Step 6: Final answer
    x = 469,331.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.