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Finding the Fourth Proportional to 509,698.32, 703,401.72 and 280,273.02

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Solution

The fourth proportional to 509,698.32, 703,401.72 and 280,273.02 is: 386,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,698.32 : 703,401.72 = 280,273.02 : x
  2. Step 2: Convert to fraction form
    509,698.32/703,401.72 = 280,273.02/x
  3. Step 3: Cross multiply
    509,698.32x = 703,401.72 × 280,273.02
  4. Step 4: Simplify right side
    509,698.32x = 197,144,524,337.59
  5. Step 5: Solve for x
    x = 197,144,524,337.59/509,698.32
  6. Step 6: Final answer
    x = 386,786.69

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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.