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Finding the Fourth Proportional to 390,056.50, 538,277.97 and 211,208.50

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Solution

The fourth proportional to 390,056.50, 538,277.97 and 211,208.50 is: 291,467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,056.50 : 538,277.97 = 211,208.50 : x
  2. Step 2: Convert to fraction form
    390,056.50/538,277.97 = 211,208.50/x
  3. Step 3: Cross multiply
    390,056.50x = 538,277.97 × 211,208.50
  4. Step 4: Simplify right side
    390,056.50x = 113,688,882,626.75
  5. Step 5: Solve for x
    x = 113,688,882,626.75/390,056.50
  6. Step 6: Final answer
    x = 291,467.73

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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.