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Finding the Fourth Proportional to 302,715.16, 417,310.56 and 211,789.42

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Solution

The fourth proportional to 302,715.16, 417,310.56 and 211,789.42 is: 291,964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,715.16 : 417,310.56 = 211,789.42 : x
  2. Step 2: Convert to fraction form
    302,715.16/417,310.56 = 211,789.42/x
  3. Step 3: Cross multiply
    302,715.16x = 417,310.56 × 211,789.42
  4. Step 4: Simplify right side
    302,715.16x = 88,381,961,462.28
  5. Step 5: Solve for x
    x = 88,381,961,462.28/302,715.16
  6. Step 6: Final answer
    x = 291,964.11

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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.