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Finding the Fourth Proportional to 315,552.30, 473,182.65 and 137,967.90

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Solution

The fourth proportional to 315,552.30, 473,182.65 and 137,967.90 is: 206,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,552.30 : 473,182.65 = 137,967.90 : x
  2. Step 2: Convert to fraction form
    315,552.30/473,182.65 = 137,967.90/x
  3. Step 3: Cross multiply
    315,552.30x = 473,182.65 × 137,967.90
  4. Step 4: Simplify right side
    315,552.30x = 65,284,016,536.94
  5. Step 5: Solve for x
    x = 65,284,016,536.94/315,552.30
  6. Step 6: Final answer
    x = 206,888.10

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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.