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Finding the Fourth Proportional to 312,428.67, 431,151.80 and 169,188.87

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Solution

The fourth proportional to 312,428.67, 431,151.80 and 169,188.87 is: 233,480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,428.67 : 431,151.80 = 169,188.87 : x
  2. Step 2: Convert to fraction form
    312,428.67/431,151.80 = 169,188.87/x
  3. Step 3: Cross multiply
    312,428.67x = 431,151.80 × 169,188.87
  4. Step 4: Simplify right side
    312,428.67x = 72,946,084,994.52
  5. Step 5: Solve for x
    x = 72,946,084,994.52/312,428.67
  6. Step 6: Final answer
    x = 233,480.77

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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.