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Finding the Fourth Proportional to 390,215, 538,496.70 and 211,367

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Solution

The fourth proportional to 390,215, 538,496.70 and 211,367 is: 291,686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,215 : 538,496.70 = 211,367 : x
  2. Step 2: Convert to fraction form
    390,215/538,496.70 = 211,367/x
  3. Step 3: Cross multiply
    390,215x = 538,496.70 × 211,367
  4. Step 4: Simplify right side
    390,215x = 113,820,431,988.90
  5. Step 5: Solve for x
    x = 113,820,431,988.90/390,215
  6. Step 6: Final answer
    x = 291,686.46

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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.