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Finding the Fourth Proportional to 202,234.32, 278,915.40 and 151,845.84

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Solution

The fourth proportional to 202,234.32, 278,915.40 and 151,845.84 is: 209,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,234.32 : 278,915.40 = 151,845.84 : x
  2. Step 2: Convert to fraction form
    202,234.32/278,915.40 = 151,845.84/x
  3. Step 3: Cross multiply
    202,234.32x = 278,915.40 × 151,845.84
  4. Step 4: Simplify right side
    202,234.32x = 42,352,143,201.94
  5. Step 5: Solve for x
    x = 42,352,143,201.94/202,234.32
  6. Step 6: Final answer
    x = 209,421.15

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1.5x scale

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.