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Finding the Fourth Proportional to 289,499.60, 434,147 and 137,678.80

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Solution

The fourth proportional to 289,499.60, 434,147 and 137,678.80 is: 206,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,499.60 : 434,147 = 137,678.80 : x
  2. Step 2: Convert to fraction form
    289,499.60/434,147 = 137,678.80/x
  3. Step 3: Cross multiply
    289,499.60x = 434,147 × 137,678.80
  4. Step 4: Simplify right side
    289,499.60x = 59,772,837,983.60
  5. Step 5: Solve for x
    x = 59,772,837,983.60/289,499.60
  6. Step 6: Final answer
    x = 206,469.50

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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.