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Finding the Fourth Proportional to 509,590.24, 703,243.50 and 280,157.20

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Solution

The fourth proportional to 509,590.24, 703,243.50 and 280,157.20 is: 386,621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,590.24 : 703,243.50 = 280,157.20 : x
  2. Step 2: Convert to fraction form
    509,590.24/703,243.50 = 280,157.20/x
  3. Step 3: Cross multiply
    509,590.24x = 703,243.50 × 280,157.20
  4. Step 4: Simplify right side
    509,590.24x = 197,018,729,878.20
  5. Step 5: Solve for x
    x = 197,018,729,878.20/509,590.24
  6. Step 6: Final answer
    x = 386,621.87

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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.