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Finding the Fourth Proportional to 407,114.66, 561,885.48 and 225,884.90

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Solution

The fourth proportional to 407,114.66, 561,885.48 and 225,884.90 is: 311,758.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,114.66 : 561,885.48 = 225,884.90 : x
  2. Step 2: Convert to fraction form
    407,114.66/561,885.48 = 225,884.90/x
  3. Step 3: Cross multiply
    407,114.66x = 561,885.48 × 225,884.90
  4. Step 4: Simplify right side
    407,114.66x = 126,921,445,461.25
  5. Step 5: Solve for x
    x = 126,921,445,461.25/407,114.66
  6. Step 6: Final answer
    x = 311,758.47

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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.