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Finding the Fourth Proportional to 408,304.08, 563,520.92 and 293,961.20

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Solution

The fourth proportional to 408,304.08, 563,520.92 and 293,961.20 is: 405,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,304.08 : 563,520.92 = 293,961.20 : x
  2. Step 2: Convert to fraction form
    408,304.08/563,520.92 = 293,961.20/x
  3. Step 3: Cross multiply
    408,304.08x = 563,520.92 × 293,961.20
  4. Step 4: Simplify right side
    408,304.08x = 165,653,281,580.89
  5. Step 5: Solve for x
    x = 165,653,281,580.89/408,304.08
  6. Step 6: Final answer
    x = 405,710.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.