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Finding the Fourth Proportional to 282,677.78, 424,014.51 and 72,315.38

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Solution

The fourth proportional to 282,677.78, 424,014.51 and 72,315.38 is: 108,472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,677.78 : 424,014.51 = 72,315.38 : x
  2. Step 2: Convert to fraction form
    282,677.78/424,014.51 = 72,315.38/x
  3. Step 3: Cross multiply
    282,677.78x = 424,014.51 × 72,315.38
  4. Step 4: Simplify right side
    282,677.78x = 30,662,770,416.16
  5. Step 5: Solve for x
    x = 30,662,770,416.16/282,677.78
  6. Step 6: Final answer
    x = 108,472.52

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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.