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Finding the Fourth Proportional to 282,990.52, 424,339.72 and 83,285

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Solution

The fourth proportional to 282,990.52, 424,339.72 and 83,285 is: 124,884.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,990.52 : 424,339.72 = 83,285 : x
  2. Step 2: Convert to fraction form
    282,990.52/424,339.72 = 83,285/x
  3. Step 3: Cross multiply
    282,990.52x = 424,339.72 × 83,285
  4. Step 4: Simplify right side
    282,990.52x = 35,341,133,580.20
  5. Step 5: Solve for x
    x = 35,341,133,580.20/282,990.52
  6. Step 6: Final answer
    x = 124,884.51

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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.