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Finding the Fourth Proportional to 280,649.22, 420,781.67 and 100,730.65

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Solution

The fourth proportional to 280,649.22, 420,781.67 and 100,730.65 is: 151,027.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,649.22 : 420,781.67 = 100,730.65 : x
  2. Step 2: Convert to fraction form
    280,649.22/420,781.67 = 100,730.65/x
  3. Step 3: Cross multiply
    280,649.22x = 420,781.67 × 100,730.65
  4. Step 4: Simplify right side
    280,649.22x = 42,385,611,127.19
  5. Step 5: Solve for x
    x = 42,385,611,127.19/280,649.22
  6. Step 6: Final answer
    x = 151,027.00

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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.