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Finding the Fourth Proportional to 804,414.40, 1,206,967.20 and 410,430.40

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Solution

The fourth proportional to 804,414.40, 1,206,967.20 and 410,430.40 is: 615,821.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,414.40 : 1,206,967.20 = 410,430.40 : x
  2. Step 2: Convert to fraction form
    804,414.40/1,206,967.20 = 410,430.40/x
  3. Step 3: Cross multiply
    804,414.40x = 1,206,967.20 × 410,430.40
  4. Step 4: Simplify right side
    804,414.40x = 495,376,030,682.88
  5. Step 5: Solve for x
    x = 495,376,030,682.88/804,414.40
  6. Step 6: Final answer
    x = 615,821.93

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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.