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Finding the Fourth Proportional to 442,983.90, 663,710.40 and 205,840.20

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Solution

The fourth proportional to 442,983.90, 663,710.40 and 205,840.20 is: 308,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,983.90 : 663,710.40 = 205,840.20 : x
  2. Step 2: Convert to fraction form
    442,983.90/663,710.40 = 205,840.20/x
  3. Step 3: Cross multiply
    442,983.90x = 663,710.40 × 205,840.20
  4. Step 4: Simplify right side
    442,983.90x = 136,618,281,478.08
  5. Step 5: Solve for x
    x = 136,618,281,478.08/442,983.90
  6. Step 6: Final answer
    x = 308,404.62

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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.