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Finding the Fourth Proportional to 390,311.12, 538,629.24 and 211,463.12

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Solution

The fourth proportional to 390,311.12, 538,629.24 and 211,463.12 is: 291,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,311.12 : 538,629.24 = 211,463.12 : x
  2. Step 2: Convert to fraction form
    390,311.12/538,629.24 = 211,463.12/x
  3. Step 3: Cross multiply
    390,311.12x = 538,629.24 × 211,463.12
  4. Step 4: Simplify right side
    390,311.12x = 113,900,219,613.63
  5. Step 5: Solve for x
    x = 113,900,219,613.63/390,311.12
  6. Step 6: Final answer
    x = 291,819.05

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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.