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Finding the Fourth Proportional to 529,438.60, 794,352.30 and 213,927.40

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Solution

The fourth proportional to 529,438.60, 794,352.30 and 213,927.40 is: 320,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,438.60 : 794,352.30 = 213,927.40 : x
  2. Step 2: Convert to fraction form
    529,438.60/794,352.30 = 213,927.40/x
  3. Step 3: Cross multiply
    529,438.60x = 794,352.30 × 213,927.40
  4. Step 4: Simplify right side
    529,438.60x = 169,933,722,223.02
  5. Step 5: Solve for x
    x = 169,933,722,223.02/529,438.60
  6. Step 6: Final answer
    x = 320,969.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.