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Finding the Fourth Proportional to 279,885.48, 419,830.11 and 102,319.44

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Solution

The fourth proportional to 279,885.48, 419,830.11 and 102,319.44 is: 153,479.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,885.48 : 419,830.11 = 102,319.44 : x
  2. Step 2: Convert to fraction form
    279,885.48/419,830.11 = 102,319.44/x
  3. Step 3: Cross multiply
    279,885.48x = 419,830.11 × 102,319.44
  4. Step 4: Simplify right side
    279,885.48x = 42,956,781,750.34
  5. Step 5: Solve for x
    x = 42,956,781,750.34/279,885.48
  6. Step 6: Final answer
    x = 153,479.85

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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.