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Finding the Fourth Proportional to 507,031.20, 699,708.24 and 280,671.84

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Solution

The fourth proportional to 507,031.20, 699,708.24 and 280,671.84 is: 387,330.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,031.20 : 699,708.24 = 280,671.84 : x
  2. Step 2: Convert to fraction form
    507,031.20/699,708.24 = 280,671.84/x
  3. Step 3: Cross multiply
    507,031.20x = 699,708.24 × 280,671.84
  4. Step 4: Simplify right side
    507,031.20x = 196,388,399,183.96
  5. Step 5: Solve for x
    x = 196,388,399,183.96/507,031.20
  6. Step 6: Final answer
    x = 387,330.01

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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.