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Finding the Fourth Proportional to 507,160.32, 699,920.64 and 280,826.88

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Solution

The fourth proportional to 507,160.32, 699,920.64 and 280,826.88 is: 387,562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,160.32 : 699,920.64 = 280,826.88 : x
  2. Step 2: Convert to fraction form
    507,160.32/699,920.64 = 280,826.88/x
  3. Step 3: Cross multiply
    507,160.32x = 699,920.64 × 280,826.88
  4. Step 4: Simplify right side
    507,160.32x = 196,556,529,578.80
  5. Step 5: Solve for x
    x = 196,556,529,578.80/507,160.32
  6. Step 6: Final answer
    x = 387,562.91

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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.