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Finding the Fourth Proportional to 509,989.35, 703,781.41 and 280,541.70

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Solution

The fourth proportional to 509,989.35, 703,781.41 and 280,541.70 is: 387,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,989.35 : 703,781.41 = 280,541.70 : x
  2. Step 2: Convert to fraction form
    509,989.35/703,781.41 = 280,541.70/x
  3. Step 3: Cross multiply
    509,989.35x = 703,781.41 × 280,541.70
  4. Step 4: Simplify right side
    509,989.35x = 197,440,033,189.80
  5. Step 5: Solve for x
    x = 197,440,033,189.80/509,989.35
  6. Step 6: Final answer
    x = 387,145.40

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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.