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Finding the Fourth Proportional to 390,439.50, 538,806.87 and 211,591.50

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Solution

The fourth proportional to 390,439.50, 538,806.87 and 211,591.50 is: 291,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,439.50 : 538,806.87 = 211,591.50 : x
  2. Step 2: Convert to fraction form
    390,439.50/538,806.87 = 211,591.50/x
  3. Step 3: Cross multiply
    390,439.50x = 538,806.87 × 211,591.50
  4. Step 4: Simplify right side
    390,439.50x = 114,006,953,833.61
  5. Step 5: Solve for x
    x = 114,006,953,833.61/390,439.50
  6. Step 6: Final answer
    x = 291,996.47

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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.