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Finding the Fourth Proportional to 534,770.64, 737,889.80 and 305,223.12

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Solution

The fourth proportional to 534,770.64, 737,889.80 and 305,223.12 is: 421,154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,770.64 : 737,889.80 = 305,223.12 : x
  2. Step 2: Convert to fraction form
    534,770.64/737,889.80 = 305,223.12/x
  3. Step 3: Cross multiply
    534,770.64x = 737,889.80 × 305,223.12
  4. Step 4: Simplify right side
    534,770.64x = 225,221,026,972.18
  5. Step 5: Solve for x
    x = 225,221,026,972.18/534,770.64
  6. Step 6: Final answer
    x = 421,154.44

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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.