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Finding the Fourth Proportional to 291,377.52, 402,115.32 and 164,067.12

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Solution

The fourth proportional to 291,377.52, 402,115.32 and 164,067.12 is: 226,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,377.52 : 402,115.32 = 164,067.12 : x
  2. Step 2: Convert to fraction form
    291,377.52/402,115.32 = 164,067.12/x
  3. Step 3: Cross multiply
    291,377.52x = 402,115.32 × 164,067.12
  4. Step 4: Simplify right side
    291,377.52x = 65,973,902,460.28
  5. Step 5: Solve for x
    x = 65,973,902,460.28/291,377.52
  6. Step 6: Final answer
    x = 226,420.70

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1.5x scale

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.