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Finding the Fourth Proportional to 666,090.49, 999,463.79 and 311,052.91

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Solution

The fourth proportional to 666,090.49, 999,463.79 and 311,052.91 is: 466,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,090.49 : 999,463.79 = 311,052.91 : x
  2. Step 2: Convert to fraction form
    666,090.49/999,463.79 = 311,052.91/x
  3. Step 3: Cross multiply
    666,090.49x = 999,463.79 × 311,052.91
  4. Step 4: Simplify right side
    666,090.49x = 310,886,120,319.13
  5. Step 5: Solve for x
    x = 310,886,120,319.13/666,090.49
  6. Step 6: Final answer
    x = 466,732.56

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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.