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Finding the Fourth Proportional to 390,388, 538,736.08 and 211,540

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Solution

The fourth proportional to 390,388, 538,736.08 and 211,540 is: 291,925.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,388 : 538,736.08 = 211,540 : x
  2. Step 2: Convert to fraction form
    390,388/538,736.08 = 211,540/x
  3. Step 3: Cross multiply
    390,388x = 538,736.08 × 211,540
  4. Step 4: Simplify right side
    390,388x = 113,964,230,363.20
  5. Step 5: Solve for x
    x = 113,964,230,363.20/390,388
  6. Step 6: Final answer
    x = 291,925.55

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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.