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Finding the Fourth Proportional to 426,956.82, 640,217.58 and 142,545.24

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Solution

The fourth proportional to 426,956.82, 640,217.58 and 142,545.24 is: 213,745.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,956.82 : 640,217.58 = 142,545.24 : x
  2. Step 2: Convert to fraction form
    426,956.82/640,217.58 = 142,545.24/x
  3. Step 3: Cross multiply
    426,956.82x = 640,217.58 × 142,545.24
  4. Step 4: Simplify right side
    426,956.82x = 91,259,968,593.32
  5. Step 5: Solve for x
    x = 91,259,968,593.32/426,956.82
  6. Step 6: Final answer
    x = 213,745.19

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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.