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Finding the Fourth Proportional to 292,585.86, 403,754.49 and 165,279.78

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Solution

The fourth proportional to 292,585.86, 403,754.49 and 165,279.78 is: 228,078.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,585.86 : 403,754.49 = 165,279.78 : x
  2. Step 2: Convert to fraction form
    292,585.86/403,754.49 = 165,279.78/x
  3. Step 3: Cross multiply
    292,585.86x = 403,754.49 × 165,279.78
  4. Step 4: Simplify right side
    292,585.86x = 66,732,453,281.21
  5. Step 5: Solve for x
    x = 66,732,453,281.21/292,585.86
  6. Step 6: Final answer
    x = 228,078.19

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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.