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Finding the Fourth Proportional to 209,255.53, 313,784.86 and 146,146.91

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Solution

The fourth proportional to 209,255.53, 313,784.86 and 146,146.91 is: 219,151.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,255.53 : 313,784.86 = 146,146.91 : x
  2. Step 2: Convert to fraction form
    209,255.53/313,784.86 = 146,146.91/x
  3. Step 3: Cross multiply
    209,255.53x = 313,784.86 × 146,146.91
  4. Step 4: Simplify right side
    209,255.53x = 45,858,688,660.93
  5. Step 5: Solve for x
    x = 45,858,688,660.93/209,255.53
  6. Step 6: Final answer
    x = 219,151.62

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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.