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Finding the Fourth Proportional to 282,939.78, 424,319.64 and 93,364.80

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Solution

The fourth proportional to 282,939.78, 424,319.64 and 93,364.80 is: 140,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,939.78 : 424,319.64 = 93,364.80 : x
  2. Step 2: Convert to fraction form
    282,939.78/424,319.64 = 93,364.80/x
  3. Step 3: Cross multiply
    282,939.78x = 424,319.64 × 93,364.80
  4. Step 4: Simplify right side
    282,939.78x = 39,616,518,324.67
  5. Step 5: Solve for x
    x = 39,616,518,324.67/282,939.78
  6. Step 6: Final answer
    x = 140,017.49

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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.