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Finding the Fourth Proportional to 290,533.68, 436,617 and 172,221.84

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Solution

The fourth proportional to 290,533.68, 436,617 and 172,221.84 is: 258,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,533.68 : 436,617 = 172,221.84 : x
  2. Step 2: Convert to fraction form
    290,533.68/436,617 = 172,221.84/x
  3. Step 3: Cross multiply
    290,533.68x = 436,617 × 172,221.84
  4. Step 4: Simplify right side
    290,533.68x = 75,194,983,115.28
  5. Step 5: Solve for x
    x = 75,194,983,115.28/290,533.68
  6. Step 6: Final answer
    x = 258,816.75

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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.