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Finding the Fourth Proportional to 382,504.56, 527,875.80 and 212,742

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Solution

The fourth proportional to 382,504.56, 527,875.80 and 212,742 is: 293,594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,504.56 : 527,875.80 = 212,742 : x
  2. Step 2: Convert to fraction form
    382,504.56/527,875.80 = 212,742/x
  3. Step 3: Cross multiply
    382,504.56x = 527,875.80 × 212,742
  4. Step 4: Simplify right side
    382,504.56x = 112,301,353,443.60
  5. Step 5: Solve for x
    x = 112,301,353,443.60/382,504.56
  6. Step 6: Final answer
    x = 293,594.81

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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.