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Finding the Fourth Proportional to 442,051.20, 663,006.40 and 146,563.20

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Solution

The fourth proportional to 442,051.20, 663,006.40 and 146,563.20 is: 219,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,051.20 : 663,006.40 = 146,563.20 : x
  2. Step 2: Convert to fraction form
    442,051.20/663,006.40 = 146,563.20/x
  3. Step 3: Cross multiply
    442,051.20x = 663,006.40 × 146,563.20
  4. Step 4: Simplify right side
    442,051.20x = 97,172,339,604.48
  5. Step 5: Solve for x
    x = 97,172,339,604.48/442,051.20
  6. Step 6: Final answer
    x = 219,821.46

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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.