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Finding the Fourth Proportional to 427,335.40, 641,060.70 and 146,938.60

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Solution

The fourth proportional to 427,335.40, 641,060.70 and 146,938.60 is: 220,427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,335.40 : 641,060.70 = 146,938.60 : x
  2. Step 2: Convert to fraction form
    427,335.40/641,060.70 = 146,938.60/x
  3. Step 3: Cross multiply
    427,335.40x = 641,060.70 × 146,938.60
  4. Step 4: Simplify right side
    427,335.40x = 94,196,561,773.02
  5. Step 5: Solve for x
    x = 94,196,561,773.02/427,335.40
  6. Step 6: Final answer
    x = 220,427.71

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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.