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Finding the Fourth Proportional to 574,319.36, 861,480.96 and 278,624

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Solution

The fourth proportional to 574,319.36, 861,480.96 and 278,624 is: 417,936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,319.36 : 861,480.96 = 278,624 : x
  2. Step 2: Convert to fraction form
    574,319.36/861,480.96 = 278,624/x
  3. Step 3: Cross multiply
    574,319.36x = 861,480.96 × 278,624
  4. Step 4: Simplify right side
    574,319.36x = 240,029,270,999.04
  5. Step 5: Solve for x
    x = 240,029,270,999.04/574,319.36
  6. Step 6: Final answer
    x = 417,936.93

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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.