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Finding the Fourth Proportional to 677,718.40, 1,016,980.80 and 257,036.80

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Solution

The fourth proportional to 677,718.40, 1,016,980.80 and 257,036.80 is: 385,708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,718.40 : 1,016,980.80 = 257,036.80 : x
  2. Step 2: Convert to fraction form
    677,718.40/1,016,980.80 = 257,036.80/x
  3. Step 3: Cross multiply
    677,718.40x = 1,016,980.80 × 257,036.80
  4. Step 4: Simplify right side
    677,718.40x = 261,401,490,493.44
  5. Step 5: Solve for x
    x = 261,401,490,493.44/677,718.40
  6. Step 6: Final answer
    x = 385,708.12

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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.