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Finding the Fourth Proportional to 547,830.80, 821,834.52 and 168,751.48

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Solution

The fourth proportional to 547,830.80, 821,834.52 and 168,751.48 is: 253,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,830.80 : 821,834.52 = 168,751.48 : x
  2. Step 2: Convert to fraction form
    547,830.80/821,834.52 = 168,751.48/x
  3. Step 3: Cross multiply
    547,830.80x = 821,834.52 × 168,751.48
  4. Step 4: Simplify right side
    547,830.80x = 138,685,791,565.09
  5. Step 5: Solve for x
    x = 138,685,791,565.09/547,830.80
  6. Step 6: Final answer
    x = 253,154.43

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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.