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Finding the Fourth Proportional to 282,998.76, 424,498.14 and 83,319.18

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Solution

The fourth proportional to 282,998.76, 424,498.14 and 83,319.18 is: 124,978.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,998.76 : 424,498.14 = 83,319.18 : x
  2. Step 2: Convert to fraction form
    282,998.76/424,498.14 = 83,319.18/x
  3. Step 3: Cross multiply
    282,998.76x = 424,498.14 × 83,319.18
  4. Step 4: Simplify right side
    282,998.76x = 35,368,837,966.59
  5. Step 5: Solve for x
    x = 35,368,837,966.59/282,998.76
  6. Step 6: Final answer
    x = 124,978.77

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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.