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Finding the Fourth Proportional to 442,500.96, 663,678 and 189,822

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Solution

The fourth proportional to 442,500.96, 663,678 and 189,822 is: 284,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,500.96 : 663,678 = 189,822 : x
  2. Step 2: Convert to fraction form
    442,500.96/663,678 = 189,822/x
  3. Step 3: Cross multiply
    442,500.96x = 663,678 × 189,822
  4. Step 4: Simplify right side
    442,500.96x = 125,980,685,316
  5. Step 5: Solve for x
    x = 125,980,685,316/442,500.96
  6. Step 6: Final answer
    x = 284,701.50

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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.