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Finding the Fourth Proportional to 389,474, 537,478.20 and 217,408.16

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Solution

The fourth proportional to 389,474, 537,478.20 and 217,408.16 is: 300,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,474 : 537,478.20 = 217,408.16 : x
  2. Step 2: Convert to fraction form
    389,474/537,478.20 = 217,408.16/x
  3. Step 3: Cross multiply
    389,474x = 537,478.20 × 217,408.16
  4. Step 4: Simplify right side
    389,474x = 116,852,146,502.11
  5. Step 5: Solve for x
    x = 116,852,146,502.11/389,474
  6. Step 6: Final answer
    x = 300,025.54

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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.