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Finding the Fourth Proportional to 509,589.24, 703,242.12 and 280,156.20

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Solution

The fourth proportional to 509,589.24, 703,242.12 and 280,156.20 is: 386,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,589.24 : 703,242.12 = 280,156.20 : x
  2. Step 2: Convert to fraction form
    509,589.24/703,242.12 = 280,156.20/x
  3. Step 3: Cross multiply
    509,589.24x = 703,242.12 × 280,156.20
  4. Step 4: Simplify right side
    509,589.24x = 197,017,640,019.14
  5. Step 5: Solve for x
    x = 197,017,640,019.14/509,589.24
  6. Step 6: Final answer
    x = 386,620.49

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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.