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Finding the Fourth Proportional to 318,158, 438,697.32 and 203,284.88

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Solution

The fourth proportional to 318,158, 438,697.32 and 203,284.88 is: 280,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,158 : 438,697.32 = 203,284.88 : x
  2. Step 2: Convert to fraction form
    318,158/438,697.32 = 203,284.88/x
  3. Step 3: Cross multiply
    318,158x = 438,697.32 × 203,284.88
  4. Step 4: Simplify right side
    318,158x = 89,180,532,052.52
  5. Step 5: Solve for x
    x = 89,180,532,052.52/318,158
  6. Step 6: Final answer
    x = 280,302.65

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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.