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Finding the Fourth Proportional to 390,028, 538,238.64 and 211,180

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Solution

The fourth proportional to 390,028, 538,238.64 and 211,180 is: 291,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,028 : 538,238.64 = 211,180 : x
  2. Step 2: Convert to fraction form
    390,028/538,238.64 = 211,180/x
  3. Step 3: Cross multiply
    390,028x = 538,238.64 × 211,180
  4. Step 4: Simplify right side
    390,028x = 113,665,235,995.20
  5. Step 5: Solve for x
    x = 113,665,235,995.20/390,028
  6. Step 6: Final answer
    x = 291,428.40

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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.