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Finding the Fourth Proportional to 285,781.90, 428,585.29 and 197,602.06

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Solution

The fourth proportional to 285,781.90, 428,585.29 and 197,602.06 is: 296,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,781.90 : 428,585.29 = 197,602.06 : x
  2. Step 2: Convert to fraction form
    285,781.90/428,585.29 = 197,602.06/x
  3. Step 3: Cross multiply
    285,781.90x = 428,585.29 × 197,602.06
  4. Step 4: Simplify right side
    285,781.90x = 84,689,336,189.70
  5. Step 5: Solve for x
    x = 84,689,336,189.70/285,781.90
  6. Step 6: Final answer
    x = 296,342.55

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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.