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Finding the Fourth Proportional to 431,284.80, 646,927.20 and 195,088.80

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Solution

The fourth proportional to 431,284.80, 646,927.20 and 195,088.80 is: 292,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,284.80 : 646,927.20 = 195,088.80 : x
  2. Step 2: Convert to fraction form
    431,284.80/646,927.20 = 195,088.80/x
  3. Step 3: Cross multiply
    431,284.80x = 646,927.20 × 195,088.80
  4. Step 4: Simplify right side
    431,284.80x = 126,208,251,135.36
  5. Step 5: Solve for x
    x = 126,208,251,135.36/431,284.80
  6. Step 6: Final answer
    x = 292,633.20

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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.