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Finding the Fourth Proportional to 547,120.40, 820,565.40 and 231,587.60

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Solution

The fourth proportional to 547,120.40, 820,565.40 and 231,587.60 is: 347,332.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,120.40 : 820,565.40 = 231,587.60 : x
  2. Step 2: Convert to fraction form
    547,120.40/820,565.40 = 231,587.60/x
  3. Step 3: Cross multiply
    547,120.40x = 820,565.40 × 231,587.60
  4. Step 4: Simplify right side
    547,120.40x = 190,032,771,629.04
  5. Step 5: Solve for x
    x = 190,032,771,629.04/547,120.40
  6. Step 6: Final answer
    x = 347,332.64

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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.