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Finding the Fourth Proportional to 282,662.80, 423,992.52 and 72,300.40

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Solution

The fourth proportional to 282,662.80, 423,992.52 and 72,300.40 is: 108,450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,662.80 : 423,992.52 = 72,300.40 : x
  2. Step 2: Convert to fraction form
    282,662.80/423,992.52 = 72,300.40/x
  3. Step 3: Cross multiply
    282,662.80x = 423,992.52 × 72,300.40
  4. Step 4: Simplify right side
    282,662.80x = 30,654,828,793.01
  5. Step 5: Solve for x
    x = 30,654,828,793.01/282,662.80
  6. Step 6: Final answer
    x = 108,450.17

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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.