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Finding the Fourth Proportional to 430,759.40, 646,357.08 and 178,221.12

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Solution

The fourth proportional to 430,759.40, 646,357.08 and 178,221.12 is: 267,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,759.40 : 646,357.08 = 178,221.12 : x
  2. Step 2: Convert to fraction form
    430,759.40/646,357.08 = 178,221.12/x
  3. Step 3: Cross multiply
    430,759.40x = 646,357.08 × 178,221.12
  4. Step 4: Simplify right side
    430,759.40x = 115,194,479,959.53
  5. Step 5: Solve for x
    x = 115,194,479,959.53/430,759.40
  6. Step 6: Final answer
    x = 267,421.86

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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.