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Finding the Fourth Proportional to 715,346.39, 987,175.22 and 409,421.54

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Solution

The fourth proportional to 715,346.39, 987,175.22 and 409,421.54 is: 565,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,346.39 : 987,175.22 = 409,421.54 : x
  2. Step 2: Convert to fraction form
    715,346.39/987,175.22 = 409,421.54/x
  3. Step 3: Cross multiply
    715,346.39x = 987,175.22 × 409,421.54
  4. Step 4: Simplify right side
    715,346.39x = 404,170,799,243.07
  5. Step 5: Solve for x
    x = 404,170,799,243.07/715,346.39
  6. Step 6: Final answer
    x = 565,000.12

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1.5x scale

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.