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Finding the Fourth Proportional to 467,360, 645,002.31 and 276,434.90

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Solution

The fourth proportional to 467,360, 645,002.31 and 276,434.90 is: 381,507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,360 : 645,002.31 = 276,434.90 : x
  2. Step 2: Convert to fraction form
    467,360/645,002.31 = 276,434.90/x
  3. Step 3: Cross multiply
    467,360x = 645,002.31 × 276,434.90
  4. Step 4: Simplify right side
    467,360x = 178,301,149,064.62
  5. Step 5: Solve for x
    x = 178,301,149,064.62/467,360
  6. Step 6: Final answer
    x = 381,507.08

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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.