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Finding the Fourth Proportional to 806,499, 1,209,748.50 and 281,187

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Solution

The fourth proportional to 806,499, 1,209,748.50 and 281,187 is: 421,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,499 : 1,209,748.50 = 281,187 : x
  2. Step 2: Convert to fraction form
    806,499/1,209,748.50 = 281,187/x
  3. Step 3: Cross multiply
    806,499x = 1,209,748.50 × 281,187
  4. Step 4: Simplify right side
    806,499x = 340,165,551,469.50
  5. Step 5: Solve for x
    x = 340,165,551,469.50/806,499
  6. Step 6: Final answer
    x = 421,780.50

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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.