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Finding the Fourth Proportional to 390,135, 538,386.30 and 211,287

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Solution

The fourth proportional to 390,135, 538,386.30 and 211,287 is: 291,576.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,135 : 538,386.30 = 211,287 : x
  2. Step 2: Convert to fraction form
    390,135/538,386.30 = 211,287/x
  3. Step 3: Cross multiply
    390,135x = 538,386.30 × 211,287
  4. Step 4: Simplify right side
    390,135x = 113,754,026,168.10
  5. Step 5: Solve for x
    x = 113,754,026,168.10/390,135
  6. Step 6: Final answer
    x = 291,576.06

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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.