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Finding the Fourth Proportional to 509,671.40, 703,331.65 and 280,228.44

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Solution

The fourth proportional to 509,671.40, 703,331.65 and 280,228.44 is: 386,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,671.40 : 703,331.65 = 280,228.44 : x
  2. Step 2: Convert to fraction form
    509,671.40/703,331.65 = 280,228.44/x
  3. Step 3: Cross multiply
    509,671.40x = 703,331.65 × 280,228.44
  4. Step 4: Simplify right side
    509,671.40x = 197,093,530,381.56
  5. Step 5: Solve for x
    x = 197,093,530,381.56/509,671.40
  6. Step 6: Final answer
    x = 386,707.07

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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.