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Finding the Fourth Proportional to 529,147.80, 729,933.12 and 335,200.32

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Solution

The fourth proportional to 529,147.80, 729,933.12 and 335,200.32 is: 462,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,147.80 : 729,933.12 = 335,200.32 : x
  2. Step 2: Convert to fraction form
    529,147.80/729,933.12 = 335,200.32/x
  3. Step 3: Cross multiply
    529,147.80x = 729,933.12 × 335,200.32
  4. Step 4: Simplify right side
    529,147.80x = 244,673,815,402.60
  5. Step 5: Solve for x
    x = 244,673,815,402.60/529,147.80
  6. Step 6: Final answer
    x = 462,392.20

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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.