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Finding the Fourth Proportional to 231,808.32, 319,782.60 and 151,199.28

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Solution

The fourth proportional to 231,808.32, 319,782.60 and 151,199.28 is: 208,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,808.32 : 319,782.60 = 151,199.28 : x
  2. Step 2: Convert to fraction form
    231,808.32/319,782.60 = 151,199.28/x
  3. Step 3: Cross multiply
    231,808.32x = 319,782.60 × 151,199.28
  4. Step 4: Simplify right side
    231,808.32x = 48,350,898,876.53
  5. Step 5: Solve for x
    x = 48,350,898,876.53/231,808.32
  6. Step 6: Final answer
    x = 208,581.38

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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.