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Finding the Fourth Proportional to 650,158.70, 974,352.24 and 313,174.80

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Solution

The fourth proportional to 650,158.70, 974,352.24 and 313,174.80 is: 469,335.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,158.70 : 974,352.24 = 313,174.80 : x
  2. Step 2: Convert to fraction form
    650,158.70/974,352.24 = 313,174.80/x
  3. Step 3: Cross multiply
    650,158.70x = 974,352.24 × 313,174.80
  4. Step 4: Simplify right side
    650,158.70x = 305,142,567,891.55
  5. Step 5: Solve for x
    x = 305,142,567,891.55/650,158.70
  6. Step 6: Final answer
    x = 469,335.52

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1.5x scale

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.