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Finding the Fourth Proportional to 291,345.39, 402,064.16 and 164,025.54

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Solution

The fourth proportional to 291,345.39, 402,064.16 and 164,025.54 is: 226,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,345.39 : 402,064.16 = 164,025.54 : x
  2. Step 2: Convert to fraction form
    291,345.39/402,064.16 = 164,025.54/x
  3. Step 3: Cross multiply
    291,345.39x = 402,064.16 × 164,025.54
  4. Step 4: Simplify right side
    291,345.39x = 65,948,790,138.52
  5. Step 5: Solve for x
    x = 65,948,790,138.52/291,345.39
  6. Step 6: Final answer
    x = 226,359.48

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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.