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Finding the Fourth Proportional to 346,164, 477,758.16 and 212,105.76

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Solution

The fourth proportional to 346,164, 477,758.16 and 212,105.76 is: 292,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,164 : 477,758.16 = 212,105.76 : x
  2. Step 2: Convert to fraction form
    346,164/477,758.16 = 212,105.76/x
  3. Step 3: Cross multiply
    346,164x = 477,758.16 × 212,105.76
  4. Step 4: Simplify right side
    346,164x = 101,335,257,623.00
  5. Step 5: Solve for x
    x = 101,335,257,623.00/346,164
  6. Step 6: Final answer
    x = 292,737.71

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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.