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Finding the Fourth Proportional to 285,397.96, 428,101.74 and 107,988.52

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Solution

The fourth proportional to 285,397.96, 428,101.74 and 107,988.52 is: 161,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,397.96 : 428,101.74 = 107,988.52 : x
  2. Step 2: Convert to fraction form
    285,397.96/428,101.74 = 107,988.52/x
  3. Step 3: Cross multiply
    285,397.96x = 428,101.74 × 107,988.52
  4. Step 4: Simplify right side
    285,397.96x = 46,230,073,312.02
  5. Step 5: Solve for x
    x = 46,230,073,312.02/285,397.96
  6. Step 6: Final answer
    x = 161,984.60

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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.