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Finding the Fourth Proportional to 342,005.48, 471,959.30 and 186,949.88

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Solution

The fourth proportional to 342,005.48, 471,959.30 and 186,949.88 is: 257,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,005.48 : 471,959.30 = 186,949.88 : x
  2. Step 2: Convert to fraction form
    342,005.48/471,959.30 = 186,949.88/x
  3. Step 3: Cross multiply
    342,005.48x = 471,959.30 × 186,949.88
  4. Step 4: Simplify right side
    342,005.48x = 88,232,734,499.88
  5. Step 5: Solve for x
    x = 88,232,734,499.88/342,005.48
  6. Step 6: Final answer
    x = 257,986.32

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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.