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Finding the Fourth Proportional to 230,343.78, 345,543.35 and 217,746.66

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Solution

The fourth proportional to 230,343.78, 345,543.35 and 217,746.66 is: 326,646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,343.78 : 345,543.35 = 217,746.66 : x
  2. Step 2: Convert to fraction form
    230,343.78/345,543.35 = 217,746.66/x
  3. Step 3: Cross multiply
    230,343.78x = 345,543.35 × 217,746.66
  4. Step 4: Simplify right side
    230,343.78x = 75,240,909,258.98
  5. Step 5: Solve for x
    x = 75,240,909,258.98/230,343.78
  6. Step 6: Final answer
    x = 326,646.15

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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.