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Finding the Fourth Proportional to 491,420.64, 737,181.30 and 188,069.94

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Solution

The fourth proportional to 491,420.64, 737,181.30 and 188,069.94 is: 282,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,420.64 : 737,181.30 = 188,069.94 : x
  2. Step 2: Convert to fraction form
    491,420.64/737,181.30 = 188,069.94/x
  3. Step 3: Cross multiply
    491,420.64x = 737,181.30 × 188,069.94
  4. Step 4: Simplify right side
    491,420.64x = 138,641,642,860.12
  5. Step 5: Solve for x
    x = 138,641,642,860.12/491,420.64
  6. Step 6: Final answer
    x = 282,124.18

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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.