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Finding the Fourth Proportional to 221,081.13, 305,323.53 and 152,349.30

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Solution

The fourth proportional to 221,081.13, 305,323.53 and 152,349.30 is: 210,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,081.13 : 305,323.53 = 152,349.30 : x
  2. Step 2: Convert to fraction form
    221,081.13/305,323.53 = 152,349.30/x
  3. Step 3: Cross multiply
    221,081.13x = 305,323.53 × 152,349.30
  4. Step 4: Simplify right side
    221,081.13x = 46,515,826,069.03
  5. Step 5: Solve for x
    x = 46,515,826,069.03/221,081.13
  6. Step 6: Final answer
    x = 210,401.61

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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.