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Finding the Fourth Proportional to 230,522, 318,125.99 and 128,546.47

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Solution

The fourth proportional to 230,522, 318,125.99 and 128,546.47 is: 177,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,522 : 318,125.99 = 128,546.47 : x
  2. Step 2: Convert to fraction form
    230,522/318,125.99 = 128,546.47/x
  3. Step 3: Cross multiply
    230,522x = 318,125.99 × 128,546.47
  4. Step 4: Simplify right side
    230,522x = 40,893,973,029.76
  5. Step 5: Solve for x
    x = 40,893,973,029.76/230,522
  6. Step 6: Final answer
    x = 177,397.27

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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.