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Finding the Fourth Proportional to 509,931.29, 703,722.46 and 280,505.64

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Solution

The fourth proportional to 509,931.29, 703,722.46 and 280,505.64 is: 387,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,931.29 : 703,722.46 = 280,505.64 : x
  2. Step 2: Convert to fraction form
    509,931.29/703,722.46 = 280,505.64/x
  3. Step 3: Cross multiply
    509,931.29x = 703,722.46 × 280,505.64
  4. Step 4: Simplify right side
    509,931.29x = 197,398,119,024.67
  5. Step 5: Solve for x
    x = 197,398,119,024.67/509,931.29
  6. Step 6: Final answer
    x = 387,107.29

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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.