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Finding the Fourth Proportional to 287,234.20, 430,851.30 and 109,649.80

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Solution

The fourth proportional to 287,234.20, 430,851.30 and 109,649.80 is: 164,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,234.20 : 430,851.30 = 109,649.80 : x
  2. Step 2: Convert to fraction form
    287,234.20/430,851.30 = 109,649.80/x
  3. Step 3: Cross multiply
    287,234.20x = 430,851.30 × 109,649.80
  4. Step 4: Simplify right side
    287,234.20x = 47,242,758,874.74
  5. Step 5: Solve for x
    x = 47,242,758,874.74/287,234.20
  6. Step 6: Final answer
    x = 164,474.70

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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.