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Finding the Fourth Proportional to 305,682.88, 458,376.84 and 128,142.22

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Solution

The fourth proportional to 305,682.88, 458,376.84 and 128,142.22 is: 192,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,682.88 : 458,376.84 = 128,142.22 : x
  2. Step 2: Convert to fraction form
    305,682.88/458,376.84 = 128,142.22/x
  3. Step 3: Cross multiply
    305,682.88x = 458,376.84 × 128,142.22
  4. Step 4: Simplify right side
    305,682.88x = 58,737,424,728.24
  5. Step 5: Solve for x
    x = 58,737,424,728.24/305,682.88
  6. Step 6: Final answer
    x = 192,151.50

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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.