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Finding the Fourth Proportional to 257,843.42, 386,765.24 and 80,364.74

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Solution

The fourth proportional to 257,843.42, 386,765.24 and 80,364.74 is: 120,547.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,843.42 : 386,765.24 = 80,364.74 : x
  2. Step 2: Convert to fraction form
    257,843.42/386,765.24 = 80,364.74/x
  3. Step 3: Cross multiply
    257,843.42x = 386,765.24 × 80,364.74
  4. Step 4: Simplify right side
    257,843.42x = 31,082,287,953.64
  5. Step 5: Solve for x
    x = 31,082,287,953.64/257,843.42
  6. Step 6: Final answer
    x = 120,547.14

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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.