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Finding the Fourth Proportional to 491,825.60, 737,738.40 and 314,532.80

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Solution

The fourth proportional to 491,825.60, 737,738.40 and 314,532.80 is: 471,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,825.60 : 737,738.40 = 314,532.80 : x
  2. Step 2: Convert to fraction form
    491,825.60/737,738.40 = 314,532.80/x
  3. Step 3: Cross multiply
    491,825.60x = 737,738.40 × 314,532.80
  4. Step 4: Simplify right side
    491,825.60x = 232,042,924,619.52
  5. Step 5: Solve for x
    x = 232,042,924,619.52/491,825.60
  6. Step 6: Final answer
    x = 471,799.20

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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.