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Finding the Fourth Proportional to 870,750, 1,306,125 and 309,786.12

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Solution

The fourth proportional to 870,750, 1,306,125 and 309,786.12 is: 464,679.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,750 : 1,306,125 = 309,786.12 : x
  2. Step 2: Convert to fraction form
    870,750/1,306,125 = 309,786.12/x
  3. Step 3: Cross multiply
    870,750x = 1,306,125 × 309,786.12
  4. Step 4: Simplify right side
    870,750x = 404,619,395,985
  5. Step 5: Solve for x
    x = 404,619,395,985/870,750
  6. Step 6: Final answer
    x = 464,679.18

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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.