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Finding the Fourth Proportional to 315,943.20, 435,993.84 and 172,703.88

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Solution

The fourth proportional to 315,943.20, 435,993.84 and 172,703.88 is: 238,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,943.20 : 435,993.84 = 172,703.88 : x
  2. Step 2: Convert to fraction form
    315,943.20/435,993.84 = 172,703.88/x
  3. Step 3: Cross multiply
    315,943.20x = 435,993.84 × 172,703.88
  4. Step 4: Simplify right side
    315,943.20x = 75,297,827,824.10
  5. Step 5: Solve for x
    x = 75,297,827,824.10/315,943.20
  6. Step 6: Final answer
    x = 238,327.10

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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.