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Finding the Fourth Proportional to 309,891.91, 427,632.87 and 173,913.16

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Solution

The fourth proportional to 309,891.91, 427,632.87 and 173,913.16 is: 239,990.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,891.91 : 427,632.87 = 173,913.16 : x
  2. Step 2: Convert to fraction form
    309,891.91/427,632.87 = 173,913.16/x
  3. Step 3: Cross multiply
    309,891.91x = 427,632.87 × 173,913.16
  4. Step 4: Simplify right side
    309,891.91x = 74,370,983,741.57
  5. Step 5: Solve for x
    x = 74,370,983,741.57/309,891.91
  6. Step 6: Final answer
    x = 239,990.08

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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.