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Finding the Fourth Proportional to 385,811.16, 532,419.33 and 213,740.31

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Solution

The fourth proportional to 385,811.16, 532,419.33 and 213,740.31 is: 294,961.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,811.16 : 532,419.33 = 213,740.31 : x
  2. Step 2: Convert to fraction form
    385,811.16/532,419.33 = 213,740.31/x
  3. Step 3: Cross multiply
    385,811.16x = 532,419.33 × 213,740.31
  4. Step 4: Simplify right side
    385,811.16x = 113,799,472,644.19
  5. Step 5: Solve for x
    x = 113,799,472,644.19/385,811.16
  6. Step 6: Final answer
    x = 294,961.59

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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.