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Finding the Fourth Proportional to 404,396.72, 606,103.14 and 286,102.16

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Solution

The fourth proportional to 404,396.72, 606,103.14 and 286,102.16 is: 428,805.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,396.72 : 606,103.14 = 286,102.16 : x
  2. Step 2: Convert to fraction form
    404,396.72/606,103.14 = 286,102.16/x
  3. Step 3: Cross multiply
    404,396.72x = 606,103.14 × 286,102.16
  4. Step 4: Simplify right side
    404,396.72x = 173,407,417,536.78
  5. Step 5: Solve for x
    x = 173,407,417,536.78/404,396.72
  6. Step 6: Final answer
    x = 428,805.20

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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.