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Finding the Fourth Proportional to 659,456.40, 988,161.48 and 457,446.96

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Solution

The fourth proportional to 659,456.40, 988,161.48 and 457,446.96 is: 685,460.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,456.40 : 988,161.48 = 457,446.96 : x
  2. Step 2: Convert to fraction form
    659,456.40/988,161.48 = 457,446.96/x
  3. Step 3: Cross multiply
    659,456.40x = 988,161.48 × 457,446.96
  4. Step 4: Simplify right side
    659,456.40x = 452,031,465,015.10
  5. Step 5: Solve for x
    x = 452,031,465,015.10/659,456.40
  6. Step 6: Final answer
    x = 685,460.73

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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.