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Finding the Fourth Proportional to 385,134.67, 531,475.90 and 213,048.15

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Solution

The fourth proportional to 385,134.67, 531,475.90 and 213,048.15 is: 294,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,134.67 : 531,475.90 = 213,048.15 : x
  2. Step 2: Convert to fraction form
    385,134.67/531,475.90 = 213,048.15/x
  3. Step 3: Cross multiply
    385,134.67x = 531,475.90 × 213,048.15
  4. Step 4: Simplify right side
    385,134.67x = 113,229,957,264.59
  5. Step 5: Solve for x
    x = 113,229,957,264.59/385,134.67
  6. Step 6: Final answer
    x = 294,000.95

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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.