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Finding the Fourth Proportional to 203,215.76, 280,437.70 and 111,338.31

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Solution

The fourth proportional to 203,215.76, 280,437.70 and 111,338.31 is: 153,646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,215.76 : 280,437.70 = 111,338.31 : x
  2. Step 2: Convert to fraction form
    203,215.76/280,437.70 = 111,338.31/x
  3. Step 3: Cross multiply
    203,215.76x = 280,437.70 × 111,338.31
  4. Step 4: Simplify right side
    203,215.76x = 31,223,459,578.29
  5. Step 5: Solve for x
    x = 31,223,459,578.29/203,215.76
  6. Step 6: Final answer
    x = 153,646.84

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1.5x scale

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.