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Finding the Fourth Proportional to 282,989.76, 424,338.56 and 83,284.24

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Solution

The fourth proportional to 282,989.76, 424,338.56 and 83,284.24 is: 124,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,989.76 : 424,338.56 = 83,284.24 : x
  2. Step 2: Convert to fraction form
    282,989.76/424,338.56 = 83,284.24/x
  3. Step 3: Cross multiply
    282,989.76x = 424,338.56 × 83,284.24
  4. Step 4: Simplify right side
    282,989.76x = 35,340,714,472.29
  5. Step 5: Solve for x
    x = 35,340,714,472.29/282,989.76
  6. Step 6: Final answer
    x = 124,883.37

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1.5x scale

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.