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Finding the Fourth Proportional to 385,840.70, 532,447.80 and 213,751.64

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Solution

The fourth proportional to 385,840.70, 532,447.80 and 213,751.64 is: 294,970.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,840.70 : 532,447.80 = 213,751.64 : x
  2. Step 2: Convert to fraction form
    385,840.70/532,447.80 = 213,751.64/x
  3. Step 3: Cross multiply
    385,840.70x = 532,447.80 × 213,751.64
  4. Step 4: Simplify right side
    385,840.70x = 113,811,590,464.39
  5. Step 5: Solve for x
    x = 113,811,590,464.39/385,840.70
  6. Step 6: Final answer
    x = 294,970.41

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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.