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Finding the Fourth Proportional to 454,031.80, 680,561.70 and 154,234.60

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Solution

The fourth proportional to 454,031.80, 680,561.70 and 154,234.60 is: 231,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,031.80 : 680,561.70 = 154,234.60 : x
  2. Step 2: Convert to fraction form
    454,031.80/680,561.70 = 154,234.60/x
  3. Step 3: Cross multiply
    454,031.80x = 680,561.70 × 154,234.60
  4. Step 4: Simplify right side
    454,031.80x = 104,966,161,574.82
  5. Step 5: Solve for x
    x = 104,966,161,574.82/454,031.80
  6. Step 6: Final answer
    x = 231,186.81

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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.