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Finding the Fourth Proportional to 1,380,432.46, 1,904,703.96 and 870,839.50

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Solution

The fourth proportional to 1,380,432.46, 1,904,703.96 and 870,839.50 is: 1,201,573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,432.46 : 1,904,703.96 = 870,839.50 : x
  2. Step 2: Convert to fraction form
    1,380,432.46/1,904,703.96 = 870,839.50/x
  3. Step 3: Cross multiply
    1,380,432.46x = 1,904,703.96 × 870,839.50
  4. Step 4: Simplify right side
    1,380,432.46x = 1,658,691,444,174.42
  5. Step 5: Solve for x
    x = 1,658,691,444,174.42/1,380,432.46
  6. Step 6: Final answer
    x = 1,201,573.78

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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.