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Finding the Fourth Proportional to 416,276, 574,459.80 and 225,289.34

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Solution

The fourth proportional to 416,276, 574,459.80 and 225,289.34 is: 310,898.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,276 : 574,459.80 = 225,289.34 : x
  2. Step 2: Convert to fraction form
    416,276/574,459.80 = 225,289.34/x
  3. Step 3: Cross multiply
    416,276x = 574,459.80 × 225,289.34
  4. Step 4: Simplify right side
    416,276x = 129,419,669,198.53
  5. Step 5: Solve for x
    x = 129,419,669,198.53/416,276
  6. Step 6: Final answer
    x = 310,898.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.