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Finding the Fourth Proportional to 282,830.87, 424,246.31 and 198,966.30

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Solution

The fourth proportional to 282,830.87, 424,246.31 and 198,966.30 is: 298,449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,830.87 : 424,246.31 = 198,966.30 : x
  2. Step 2: Convert to fraction form
    282,830.87/424,246.31 = 198,966.30/x
  3. Step 3: Cross multiply
    282,830.87x = 424,246.31 × 198,966.30
  4. Step 4: Simplify right side
    282,830.87x = 84,410,716,642.20
  5. Step 5: Solve for x
    x = 84,410,716,642.20/282,830.87
  6. Step 6: Final answer
    x = 298,449.45

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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.