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Finding the Fourth Proportional to 715,701.59, 987,670.25 and 409,782.67

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Solution

The fourth proportional to 715,701.59, 987,670.25 and 409,782.67 is: 565,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,701.59 : 987,670.25 = 409,782.67 : x
  2. Step 2: Convert to fraction form
    715,701.59/987,670.25 = 409,782.67/x
  3. Step 3: Cross multiply
    715,701.59x = 987,670.25 × 409,782.67
  4. Step 4: Simplify right side
    715,701.59x = 404,730,150,167.62
  5. Step 5: Solve for x
    x = 404,730,150,167.62/715,701.59
  6. Step 6: Final answer
    x = 565,501.26

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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.