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Finding the Fourth Proportional to 498,051.64, 687,309.80 and 271,695.52

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Solution

The fourth proportional to 498,051.64, 687,309.80 and 271,695.52 is: 374,939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,051.64 : 687,309.80 = 271,695.52 : x
  2. Step 2: Convert to fraction form
    498,051.64/687,309.80 = 271,695.52/x
  3. Step 3: Cross multiply
    498,051.64x = 687,309.80 × 271,695.52
  4. Step 4: Simplify right side
    498,051.64x = 186,738,993,512.10
  5. Step 5: Solve for x
    x = 186,738,993,512.10/498,051.64
  6. Step 6: Final answer
    x = 374,939.02

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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.