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Finding the Fourth Proportional to 390,136, 538,387.68 and 211,288

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Solution

The fourth proportional to 390,136, 538,387.68 and 211,288 is: 291,577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,136 : 538,387.68 = 211,288 : x
  2. Step 2: Convert to fraction form
    390,136/538,387.68 = 211,288/x
  3. Step 3: Cross multiply
    390,136x = 538,387.68 × 211,288
  4. Step 4: Simplify right side
    390,136x = 113,754,856,131.84
  5. Step 5: Solve for x
    x = 113,754,856,131.84/390,136
  6. Step 6: Final answer
    x = 291,577.44

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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.