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Finding the Fourth Proportional to 659,200, 988,213.52 and 238,382.32

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Solution

The fourth proportional to 659,200, 988,213.52 and 238,382.32 is: 357,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,200 : 988,213.52 = 238,382.32 : x
  2. Step 2: Convert to fraction form
    659,200/988,213.52 = 238,382.32/x
  3. Step 3: Cross multiply
    659,200x = 988,213.52 × 238,382.32
  4. Step 4: Simplify right side
    659,200x = 235,572,631,552.97
  5. Step 5: Solve for x
    x = 235,572,631,552.97/659,200
  6. Step 6: Final answer
    x = 357,361.39

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1.5x scale

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.