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Finding the Fourth Proportional to 305,045.89, 420,988.53 and 169,122.47

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Solution

The fourth proportional to 305,045.89, 420,988.53 and 169,122.47 is: 233,402.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,045.89 : 420,988.53 = 169,122.47 : x
  2. Step 2: Convert to fraction form
    305,045.89/420,988.53 = 169,122.47/x
  3. Step 3: Cross multiply
    305,045.89x = 420,988.53 × 169,122.47
  4. Step 4: Simplify right side
    305,045.89x = 71,198,620,035.27
  5. Step 5: Solve for x
    x = 71,198,620,035.27/305,045.89
  6. Step 6: Final answer
    x = 233,402.98

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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.