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Finding the Fourth Proportional to 291,338.82, 402,085.89 and 164,039.22

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Solution

The fourth proportional to 291,338.82, 402,085.89 and 164,039.22 is: 226,395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,338.82 : 402,085.89 = 164,039.22 : x
  2. Step 2: Convert to fraction form
    291,338.82/402,085.89 = 164,039.22/x
  3. Step 3: Cross multiply
    291,338.82x = 402,085.89 × 164,039.22
  4. Step 4: Simplify right side
    291,338.82x = 65,957,855,768.61
  5. Step 5: Solve for x
    x = 65,957,855,768.61/291,338.82
  6. Step 6: Final answer
    x = 226,395.70

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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.