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Finding the Fourth Proportional to 203,476.90, 305,506.95 and 153,904.90

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Solution

The fourth proportional to 203,476.90, 305,506.95 and 153,904.90 is: 231,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,476.90 : 305,506.95 = 153,904.90 : x
  2. Step 2: Convert to fraction form
    203,476.90/305,506.95 = 153,904.90/x
  3. Step 3: Cross multiply
    203,476.90x = 305,506.95 × 153,904.90
  4. Step 4: Simplify right side
    203,476.90x = 47,019,016,589.06
  5. Step 5: Solve for x
    x = 47,019,016,589.06/203,476.90
  6. Step 6: Final answer
    x = 231,077.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.