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Finding the Fourth Proportional to 305,222.72, 421,119.61 and 176,150.84

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Solution

The fourth proportional to 305,222.72, 421,119.61 and 176,150.84 is: 243,037.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,222.72 : 421,119.61 = 176,150.84 : x
  2. Step 2: Convert to fraction form
    305,222.72/421,119.61 = 176,150.84/x
  3. Step 3: Cross multiply
    305,222.72x = 421,119.61 × 176,150.84
  4. Step 4: Simplify right side
    305,222.72x = 74,180,570,496.00
  5. Step 5: Solve for x
    x = 74,180,570,496.00/305,222.72
  6. Step 6: Final answer
    x = 243,037.52

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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.