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Finding the Fourth Proportional to 312,615.18, 431,092.80 and 278,050.77

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Solution

The fourth proportional to 312,615.18, 431,092.80 and 278,050.77 is: 383,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,615.18 : 431,092.80 = 278,050.77 : x
  2. Step 2: Convert to fraction form
    312,615.18/431,092.80 = 278,050.77/x
  3. Step 3: Cross multiply
    312,615.18x = 431,092.80 × 278,050.77
  4. Step 4: Simplify right side
    312,615.18x = 119,865,684,981.46
  5. Step 5: Solve for x
    x = 119,865,684,981.46/312,615.18
  6. Step 6: Final answer
    x = 383,428.87

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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.