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Finding the Fourth Proportional to 282,920.88, 424,270.20 and 105,330.80

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Solution

The fourth proportional to 282,920.88, 424,270.20 and 105,330.80 is: 157,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,920.88 : 424,270.20 = 105,330.80 : x
  2. Step 2: Convert to fraction form
    282,920.88/424,270.20 = 105,330.80/x
  3. Step 3: Cross multiply
    282,920.88x = 424,270.20 × 105,330.80
  4. Step 4: Simplify right side
    282,920.88x = 44,688,719,582.16
  5. Step 5: Solve for x
    x = 44,688,719,582.16/282,920.88
  6. Step 6: Final answer
    x = 157,954.83

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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.