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Finding the Fourth Proportional to 407,153.87, 561,939.70 and 225,924.16

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Solution

The fourth proportional to 407,153.87, 561,939.70 and 225,924.16 is: 311,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,153.87 : 561,939.70 = 225,924.16 : x
  2. Step 2: Convert to fraction form
    407,153.87/561,939.70 = 225,924.16/x
  3. Step 3: Cross multiply
    407,153.87x = 561,939.70 × 225,924.16
  4. Step 4: Simplify right side
    407,153.87x = 126,955,756,416.60
  5. Step 5: Solve for x
    x = 126,955,756,416.60/407,153.87
  6. Step 6: Final answer
    x = 311,812.72

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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.