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Finding the Fourth Proportional to 390,441, 538,808.94 and 211,593

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Solution

The fourth proportional to 390,441, 538,808.94 and 211,593 is: 291,998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,441 : 538,808.94 = 211,593 : x
  2. Step 2: Convert to fraction form
    390,441/538,808.94 = 211,593/x
  3. Step 3: Cross multiply
    390,441x = 538,808.94 × 211,593
  4. Step 4: Simplify right side
    390,441x = 114,008,200,041.42
  5. Step 5: Solve for x
    x = 114,008,200,041.42/390,441
  6. Step 6: Final answer
    x = 291,998.54

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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.