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Finding the Fourth Proportional to 465,758.10, 642,737.43 and 293,641.20

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Solution

The fourth proportional to 465,758.10, 642,737.43 and 293,641.20 is: 405,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,758.10 : 642,737.43 = 293,641.20 : x
  2. Step 2: Convert to fraction form
    465,758.10/642,737.43 = 293,641.20/x
  3. Step 3: Cross multiply
    465,758.10x = 642,737.43 × 293,641.20
  4. Step 4: Simplify right side
    465,758.10x = 188,734,190,230.12
  5. Step 5: Solve for x
    x = 188,734,190,230.12/465,758.10
  6. Step 6: Final answer
    x = 405,219.34

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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.