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Finding the Fourth Proportional to 650,276.10, 975,414.15 and 516,431.70

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Solution

The fourth proportional to 650,276.10, 975,414.15 and 516,431.70 is: 774,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,276.10 : 975,414.15 = 516,431.70 : x
  2. Step 2: Convert to fraction form
    650,276.10/975,414.15 = 516,431.70/x
  3. Step 3: Cross multiply
    650,276.10x = 975,414.15 × 516,431.70
  4. Step 4: Simplify right side
    650,276.10x = 503,734,787,688.56
  5. Step 5: Solve for x
    x = 503,734,787,688.56/650,276.10
  6. Step 6: Final answer
    x = 774,647.55

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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.