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Finding the Fourth Proportional to 507,164.32, 699,926.16 and 280,830.88

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Solution

The fourth proportional to 507,164.32, 699,926.16 and 280,830.88 is: 387,568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,164.32 : 699,926.16 = 280,830.88 : x
  2. Step 2: Convert to fraction form
    507,164.32/699,926.16 = 280,830.88/x
  3. Step 3: Cross multiply
    507,164.32x = 699,926.16 × 280,830.88
  4. Step 4: Simplify right side
    507,164.32x = 196,560,879,447.82
  5. Step 5: Solve for x
    x = 196,560,879,447.82/507,164.32
  6. Step 6: Final answer
    x = 387,568.43

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1.5x scale

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.