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Finding the Fourth Proportional to 509,697.32, 703,400.34 and 280,272.02

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Solution

The fourth proportional to 509,697.32, 703,400.34 and 280,272.02 is: 386,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,697.32 : 703,400.34 = 280,272.02 : x
  2. Step 2: Convert to fraction form
    509,697.32/703,400.34 = 280,272.02/x
  3. Step 3: Cross multiply
    509,697.32x = 703,400.34 × 280,272.02
  4. Step 4: Simplify right side
    509,697.32x = 197,143,434,160.49
  5. Step 5: Solve for x
    x = 197,143,434,160.49/509,697.32
  6. Step 6: Final answer
    x = 386,785.31

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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.