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Finding the Fourth Proportional to 292,578.72, 403,756.48 and 165,279.20

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Solution

The fourth proportional to 292,578.72, 403,756.48 and 165,279.20 is: 228,084.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,578.72 : 403,756.48 = 165,279.20 : x
  2. Step 2: Convert to fraction form
    292,578.72/403,756.48 = 165,279.20/x
  3. Step 3: Cross multiply
    292,578.72x = 403,756.48 × 165,279.20
  4. Step 4: Simplify right side
    292,578.72x = 66,732,548,009.22
  5. Step 5: Solve for x
    x = 66,732,548,009.22/292,578.72
  6. Step 6: Final answer
    x = 228,084.08

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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.