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Finding the Fourth Proportional to 507,079.80, 699,785.10 and 280,725.30

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Solution

The fourth proportional to 507,079.80, 699,785.10 and 280,725.30 is: 387,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,079.80 : 699,785.10 = 280,725.30 : x
  2. Step 2: Convert to fraction form
    507,079.80/699,785.10 = 280,725.30/x
  3. Step 3: Cross multiply
    507,079.80x = 699,785.10 × 280,725.30
  4. Step 4: Simplify right side
    507,079.80x = 196,447,382,133.03
  5. Step 5: Solve for x
    x = 196,447,382,133.03/507,079.80
  6. Step 6: Final answer
    x = 387,409.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.