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Finding the Fourth Proportional to 666,102.16, 998,753.06 and 305,822.16

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Solution

The fourth proportional to 666,102.16, 998,753.06 and 305,822.16 is: 458,549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,102.16 : 998,753.06 = 305,822.16 : x
  2. Step 2: Convert to fraction form
    666,102.16/998,753.06 = 305,822.16/x
  3. Step 3: Cross multiply
    666,102.16x = 998,753.06 × 305,822.16
  4. Step 4: Simplify right side
    666,102.16x = 305,440,818,115.81
  5. Step 5: Solve for x
    x = 305,440,818,115.81/666,102.16
  6. Step 6: Final answer
    x = 458,549.51

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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.