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Finding the Fourth Proportional to 291,345.38, 402,052.17 and 164,020.58

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Solution

The fourth proportional to 291,345.38, 402,052.17 and 164,020.58 is: 226,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,345.38 : 402,052.17 = 164,020.58 : x
  2. Step 2: Convert to fraction form
    291,345.38/402,052.17 = 164,020.58/x
  3. Step 3: Cross multiply
    291,345.38x = 402,052.17 × 164,020.58
  4. Step 4: Simplify right side
    291,345.38x = 65,944,830,113.66
  5. Step 5: Solve for x
    x = 65,944,830,113.66/291,345.38
  6. Step 6: Final answer
    x = 226,345.89

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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.