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Finding the Fourth Proportional to 537,716.40, 805,602.60 and 312,892.80

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Solution

The fourth proportional to 537,716.40, 805,602.60 and 312,892.80 is: 468,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,716.40 : 805,602.60 = 312,892.80 : x
  2. Step 2: Convert to fraction form
    537,716.40/805,602.60 = 312,892.80/x
  3. Step 3: Cross multiply
    537,716.40x = 805,602.60 × 312,892.80
  4. Step 4: Simplify right side
    537,716.40x = 252,067,253,201.28
  5. Step 5: Solve for x
    x = 252,067,253,201.28/537,716.40
  6. Step 6: Final answer
    x = 468,773.60

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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.