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Finding the Fourth Proportional to 289,512.80, 434,123.40 and 171,220.40

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Solution

The fourth proportional to 289,512.80, 434,123.40 and 171,220.40 is: 256,744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,512.80 : 434,123.40 = 171,220.40 : x
  2. Step 2: Convert to fraction form
    289,512.80/434,123.40 = 171,220.40/x
  3. Step 3: Cross multiply
    289,512.80x = 434,123.40 × 171,220.40
  4. Step 4: Simplify right side
    289,512.80x = 74,330,782,197.36
  5. Step 5: Solve for x
    x = 74,330,782,197.36/289,512.80
  6. Step 6: Final answer
    x = 256,744.37

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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.