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Finding the Fourth Proportional to 1,378,834.68, 1,902,691.98 and 862,819.32

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Solution

The fourth proportional to 1,378,834.68, 1,902,691.98 and 862,819.32 is: 1,190,628.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,834.68 : 1,902,691.98 = 862,819.32 : x
  2. Step 2: Convert to fraction form
    1,378,834.68/1,902,691.98 = 862,819.32/x
  3. Step 3: Cross multiply
    1,378,834.68x = 1,902,691.98 × 862,819.32
  4. Step 4: Simplify right side
    1,378,834.68x = 1,641,679,400,353.05
  5. Step 5: Solve for x
    x = 1,641,679,400,353.05/1,378,834.68
  6. Step 6: Final answer
    x = 1,190,628.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.