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Finding the Fourth Proportional to 390,259, 538,560.66 and 211,411

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Solution

The fourth proportional to 390,259, 538,560.66 and 211,411 is: 291,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,259 : 538,560.66 = 211,411 : x
  2. Step 2: Convert to fraction form
    390,259/538,560.66 = 211,411/x
  3. Step 3: Cross multiply
    390,259x = 538,560.66 × 211,411
  4. Step 4: Simplify right side
    390,259x = 113,857,647,691.26
  5. Step 5: Solve for x
    x = 113,857,647,691.26/390,259
  6. Step 6: Final answer
    x = 291,748.94

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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.