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Finding the Fourth Proportional to 390,024, 538,233.12 and 211,176

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Solution

The fourth proportional to 390,024, 538,233.12 and 211,176 is: 291,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,024 : 538,233.12 = 211,176 : x
  2. Step 2: Convert to fraction form
    390,024/538,233.12 = 211,176/x
  3. Step 3: Cross multiply
    390,024x = 538,233.12 × 211,176
  4. Step 4: Simplify right side
    390,024x = 113,661,917,349.12
  5. Step 5: Solve for x
    x = 113,661,917,349.12/390,024
  6. Step 6: Final answer
    x = 291,422.88

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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.