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Finding the Fourth Proportional to 203,228.64, 280,450.32 and 111,347.28

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Solution

The fourth proportional to 203,228.64, 280,450.32 and 111,347.28 is: 153,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,228.64 : 280,450.32 = 111,347.28 : x
  2. Step 2: Convert to fraction form
    203,228.64/280,450.32 = 111,347.28/x
  3. Step 3: Cross multiply
    203,228.64x = 280,450.32 × 111,347.28
  4. Step 4: Simplify right side
    203,228.64x = 31,227,380,307.13
  5. Step 5: Solve for x
    x = 31,227,380,307.13/203,228.64
  6. Step 6: Final answer
    x = 153,656.40

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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.