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Finding the Fourth Proportional to 650,015.20, 972,949.20 and 509,010.40

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Solution

The fourth proportional to 650,015.20, 972,949.20 and 509,010.40 is: 761,891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,015.20 : 972,949.20 = 509,010.40 : x
  2. Step 2: Convert to fraction form
    650,015.20/972,949.20 = 509,010.40/x
  3. Step 3: Cross multiply
    650,015.20x = 972,949.20 × 509,010.40
  4. Step 4: Simplify right side
    650,015.20x = 495,241,261,471.68
  5. Step 5: Solve for x
    x = 495,241,261,471.68/650,015.20
  6. Step 6: Final answer
    x = 761,891.82

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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.