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Finding the Fourth Proportional to 279,686.40, 419,590.35 and 102,193.13

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Solution

The fourth proportional to 279,686.40, 419,590.35 and 102,193.13 is: 153,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,686.40 : 419,590.35 = 102,193.13 : x
  2. Step 2: Convert to fraction form
    279,686.40/419,590.35 = 102,193.13/x
  3. Step 3: Cross multiply
    279,686.40x = 419,590.35 × 102,193.13
  4. Step 4: Simplify right side
    279,686.40x = 42,879,251,184.30
  5. Step 5: Solve for x
    x = 42,879,251,184.30/279,686.40
  6. Step 6: Final answer
    x = 153,311.89

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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.