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Finding the Fourth Proportional to 659,224, 988,249.56 and 238,406.32

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Solution

The fourth proportional to 659,224, 988,249.56 and 238,406.32 is: 357,397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,224 : 988,249.56 = 238,406.32 : x
  2. Step 2: Convert to fraction form
    659,224/988,249.56 = 238,406.32/x
  3. Step 3: Cross multiply
    659,224x = 988,249.56 × 238,406.32
  4. Step 4: Simplify right side
    659,224x = 235,604,940,841.22
  5. Step 5: Solve for x
    x = 235,604,940,841.22/659,224
  6. Step 6: Final answer
    x = 357,397.40

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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.