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Finding the Fourth Proportional to 312,866.64, 431,526.56 and 205,397.46

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Solution

The fourth proportional to 312,866.64, 431,526.56 and 205,397.46 is: 283,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,866.64 : 431,526.56 = 205,397.46 : x
  2. Step 2: Convert to fraction form
    312,866.64/431,526.56 = 205,397.46/x
  3. Step 3: Cross multiply
    312,866.64x = 431,526.56 × 205,397.46
  4. Step 4: Simplify right side
    312,866.64x = 88,634,458,319.55
  5. Step 5: Solve for x
    x = 88,634,458,319.55/312,866.64
  6. Step 6: Final answer
    x = 283,297.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.