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Finding the Fourth Proportional to 407,221.84, 561,947.10 and 225,931.84

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Solution

The fourth proportional to 407,221.84, 561,947.10 and 225,931.84 is: 311,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,221.84 : 561,947.10 = 225,931.84 : x
  2. Step 2: Convert to fraction form
    407,221.84/561,947.10 = 225,931.84/x
  3. Step 3: Cross multiply
    407,221.84x = 561,947.10 × 225,931.84
  4. Step 4: Simplify right side
    407,221.84x = 126,961,742,285.66
  5. Step 5: Solve for x
    x = 126,961,742,285.66/407,221.84
  6. Step 6: Final answer
    x = 311,775.38

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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.