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Finding the Fourth Proportional to 282,678.78, 424,034.32 and 80,259.06

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Solution

The fourth proportional to 282,678.78, 424,034.32 and 80,259.06 is: 120,393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,678.78 : 424,034.32 = 80,259.06 : x
  2. Step 2: Convert to fraction form
    282,678.78/424,034.32 = 80,259.06/x
  3. Step 3: Cross multiply
    282,678.78x = 424,034.32 × 80,259.06
  4. Step 4: Simplify right side
    282,678.78x = 34,032,595,930.94
  5. Step 5: Solve for x
    x = 34,032,595,930.94/282,678.78
  6. Step 6: Final answer
    x = 120,393.18

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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.