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Finding the Fourth Proportional to 804,406.40, 1,206,955.20 and 410,422.40

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Solution

The fourth proportional to 804,406.40, 1,206,955.20 and 410,422.40 is: 615,809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,406.40 : 1,206,955.20 = 410,422.40 : x
  2. Step 2: Convert to fraction form
    804,406.40/1,206,955.20 = 410,422.40/x
  3. Step 3: Cross multiply
    804,406.40x = 1,206,955.20 × 410,422.40
  4. Step 4: Simplify right side
    804,406.40x = 495,361,449,876.48
  5. Step 5: Solve for x
    x = 495,361,449,876.48/804,406.40
  6. Step 6: Final answer
    x = 615,809.93

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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.