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Finding the Fourth Proportional to 431,322.80, 646,830.60 and 194,778.80

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Solution

The fourth proportional to 431,322.80, 646,830.60 and 194,778.80 is: 292,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,322.80 : 646,830.60 = 194,778.80 : x
  2. Step 2: Convert to fraction form
    431,322.80/646,830.60 = 194,778.80/x
  3. Step 3: Cross multiply
    431,322.80x = 646,830.60 × 194,778.80
  4. Step 4: Simplify right side
    431,322.80x = 125,988,888,071.28
  5. Step 5: Solve for x
    x = 125,988,888,071.28/431,322.80
  6. Step 6: Final answer
    x = 292,098.84

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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.