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Finding the Fourth Proportional to 319,062.96, 478,475.24 and 105,791.76

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Solution

The fourth proportional to 319,062.96, 478,475.24 and 105,791.76 is: 158,648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,062.96 : 478,475.24 = 105,791.76 : x
  2. Step 2: Convert to fraction form
    319,062.96/478,475.24 = 105,791.76/x
  3. Step 3: Cross multiply
    319,062.96x = 478,475.24 × 105,791.76
  4. Step 4: Simplify right side
    319,062.96x = 50,618,737,756.02
  5. Step 5: Solve for x
    x = 50,618,737,756.02/319,062.96
  6. Step 6: Final answer
    x = 158,648.12

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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.