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Finding the Fourth Proportional to 715,459.40, 987,287.40 and 409,538.24

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Solution

The fourth proportional to 715,459.40, 987,287.40 and 409,538.24 is: 565,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,459.40 : 987,287.40 = 409,538.24 : x
  2. Step 2: Convert to fraction form
    715,459.40/987,287.40 = 409,538.24/x
  3. Step 3: Cross multiply
    715,459.40x = 987,287.40 × 409,538.24
  4. Step 4: Simplify right side
    715,459.40x = 404,331,944,170.18
  5. Step 5: Solve for x
    x = 404,331,944,170.18/715,459.40
  6. Step 6: Final answer
    x = 565,136.11

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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.