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Finding the Fourth Proportional to 282,808.64, 424,285.86 and 83,135.54

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Solution

The fourth proportional to 282,808.64, 424,285.86 and 83,135.54 is: 124,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,808.64 : 424,285.86 = 83,135.54 : x
  2. Step 2: Convert to fraction form
    282,808.64/424,285.86 = 83,135.54/x
  3. Step 3: Cross multiply
    282,808.64x = 424,285.86 × 83,135.54
  4. Step 4: Simplify right side
    282,808.64x = 35,273,234,085.46
  5. Step 5: Solve for x
    x = 35,273,234,085.46/282,808.64
  6. Step 6: Final answer
    x = 124,724.74

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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.