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Finding the Fourth Proportional to 282,078.80, 423,215.40 and 124,420.40

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Solution

The fourth proportional to 282,078.80, 423,215.40 and 124,420.40 is: 186,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,078.80 : 423,215.40 = 124,420.40 : x
  2. Step 2: Convert to fraction form
    282,078.80/423,215.40 = 124,420.40/x
  3. Step 3: Cross multiply
    282,078.80x = 423,215.40 × 124,420.40
  4. Step 4: Simplify right side
    282,078.80x = 52,656,629,354.16
  5. Step 5: Solve for x
    x = 52,656,629,354.16/282,078.80
  6. Step 6: Final answer
    x = 186,673.47

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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.