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Finding the Fourth Proportional to 715,494.64, 987,515.61 and 409,571.02

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Solution

The fourth proportional to 715,494.64, 987,515.61 and 409,571.02 is: 565,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,494.64 : 987,515.61 = 409,571.02 : x
  2. Step 2: Convert to fraction form
    715,494.64/987,515.61 = 409,571.02/x
  3. Step 3: Cross multiply
    715,494.64x = 987,515.61 × 409,571.02
  4. Step 4: Simplify right side
    715,494.64x = 404,457,775,653.62
  5. Step 5: Solve for x
    x = 404,457,775,653.62/715,494.64
  6. Step 6: Final answer
    x = 565,284.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.