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Finding the Fourth Proportional to 282,981.78, 424,326.56 and 83,276.22

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Solution

The fourth proportional to 282,981.78, 424,326.56 and 83,276.22 is: 124,871.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,981.78 : 424,326.56 = 83,276.22 : x
  2. Step 2: Convert to fraction form
    282,981.78/424,326.56 = 83,276.22/x
  3. Step 3: Cross multiply
    282,981.78x = 424,326.56 × 83,276.22
  4. Step 4: Simplify right side
    282,981.78x = 35,336,311,962.40
  5. Step 5: Solve for x
    x = 35,336,311,962.40/282,981.78
  6. Step 6: Final answer
    x = 124,871.33

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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.