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Finding the Fourth Proportional to 509,750.55, 703,473.45 and 280,317.24

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Solution

The fourth proportional to 509,750.55, 703,473.45 and 280,317.24 is: 386,847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,750.55 : 703,473.45 = 280,317.24 : x
  2. Step 2: Convert to fraction form
    509,750.55/703,473.45 = 280,317.24/x
  3. Step 3: Cross multiply
    509,750.55x = 703,473.45 × 280,317.24
  4. Step 4: Simplify right side
    509,750.55x = 197,195,730,998.33
  5. Step 5: Solve for x
    x = 197,195,730,998.33/509,750.55
  6. Step 6: Final answer
    x = 386,847.51

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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.