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Finding the Fourth Proportional to 295,755.70, 442,977.45 and 256,389.70

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Solution

The fourth proportional to 295,755.70, 442,977.45 and 256,389.70 is: 384,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,755.70 : 442,977.45 = 256,389.70 : x
  2. Step 2: Convert to fraction form
    295,755.70/442,977.45 = 256,389.70/x
  3. Step 3: Cross multiply
    295,755.70x = 442,977.45 × 256,389.70
  4. Step 4: Simplify right side
    295,755.70x = 113,574,855,512.27
  5. Step 5: Solve for x
    x = 113,574,855,512.27/295,755.70
  6. Step 6: Final answer
    x = 384,015.78

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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.