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Finding the Fourth Proportional to 442,887.86, 610,974.74 and 261,478.26

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Solution

The fourth proportional to 442,887.86, 610,974.74 and 261,478.26 is: 360,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,887.86 : 610,974.74 = 261,478.26 : x
  2. Step 2: Convert to fraction form
    442,887.86/610,974.74 = 261,478.26/x
  3. Step 3: Cross multiply
    442,887.86x = 610,974.74 × 261,478.26
  4. Step 4: Simplify right side
    442,887.86x = 159,756,611,919.15
  5. Step 5: Solve for x
    x = 159,756,611,919.15/442,887.86
  6. Step 6: Final answer
    x = 360,715.72

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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.