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Finding the Fourth Proportional to 878,416, 1,317,624 and 279,378.40

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Solution

The fourth proportional to 878,416, 1,317,624 and 279,378.40 is: 419,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,416 : 1,317,624 = 279,378.40 : x
  2. Step 2: Convert to fraction form
    878,416/1,317,624 = 279,378.40/x
  3. Step 3: Cross multiply
    878,416x = 1,317,624 × 279,378.40
  4. Step 4: Simplify right side
    878,416x = 368,115,684,921.60
  5. Step 5: Solve for x
    x = 368,115,684,921.60/878,416
  6. Step 6: Final answer
    x = 419,067.60

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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.