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Finding the Fourth Proportional to 289,503.60, 434,153 and 137,682.80

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Solution

The fourth proportional to 289,503.60, 434,153 and 137,682.80 is: 206,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,503.60 : 434,153 = 137,682.80 : x
  2. Step 2: Convert to fraction form
    289,503.60/434,153 = 137,682.80/x
  3. Step 3: Cross multiply
    289,503.60x = 434,153 × 137,682.80
  4. Step 4: Simplify right side
    289,503.60x = 59,775,400,668.40
  5. Step 5: Solve for x
    x = 59,775,400,668.40/289,503.60
  6. Step 6: Final answer
    x = 206,475.50

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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.