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Finding the Fourth Proportional to 677,750.40, 1,017,028.80 and 257,068.80

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Solution

The fourth proportional to 677,750.40, 1,017,028.80 and 257,068.80 is: 385,756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,750.40 : 1,017,028.80 = 257,068.80 : x
  2. Step 2: Convert to fraction form
    677,750.40/1,017,028.80 = 257,068.80/x
  3. Step 3: Cross multiply
    677,750.40x = 1,017,028.80 × 257,068.80
  4. Step 4: Simplify right side
    677,750.40x = 261,446,373,181.44
  5. Step 5: Solve for x
    x = 261,446,373,181.44/677,750.40
  6. Step 6: Final answer
    x = 385,756.13

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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.