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Finding the Fourth Proportional to 546,761.80, 820,142.70 and 310,565.80

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Solution

The fourth proportional to 546,761.80, 820,142.70 and 310,565.80 is: 465,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,761.80 : 820,142.70 = 310,565.80 : x
  2. Step 2: Convert to fraction form
    546,761.80/820,142.70 = 310,565.80/x
  3. Step 3: Cross multiply
    546,761.80x = 820,142.70 × 310,565.80
  4. Step 4: Simplify right side
    546,761.80x = 254,708,273,739.66
  5. Step 5: Solve for x
    x = 254,708,273,739.66/546,761.80
  6. Step 6: Final answer
    x = 465,848.70

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Similar ratio
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1.5x scale

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.