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Finding the Fourth Proportional to 534,740, 737,941.20 and 296,276

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Solution

The fourth proportional to 534,740, 737,941.20 and 296,276 is: 408,860.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,740 : 737,941.20 = 296,276 : x
  2. Step 2: Convert to fraction form
    534,740/737,941.20 = 296,276/x
  3. Step 3: Cross multiply
    534,740x = 737,941.20 × 296,276
  4. Step 4: Simplify right side
    534,740x = 218,634,266,971.20
  5. Step 5: Solve for x
    x = 218,634,266,971.20/534,740
  6. Step 6: Final answer
    x = 408,860.88

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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.