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Finding the Fourth Proportional to 305,900.96, 458,828.76 and 128,400.80

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Solution

The fourth proportional to 305,900.96, 458,828.76 and 128,400.80 is: 192,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,900.96 : 458,828.76 = 128,400.80 : x
  2. Step 2: Convert to fraction form
    305,900.96/458,828.76 = 128,400.80/x
  3. Step 3: Cross multiply
    305,900.96x = 458,828.76 × 128,400.80
  4. Step 4: Simplify right side
    305,900.96x = 58,913,979,847.01
  5. Step 5: Solve for x
    x = 58,913,979,847.01/305,900.96
  6. Step 6: Final answer
    x = 192,591.68

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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.