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Finding the Fourth Proportional to 407,158.88, 561,880.68 and 225,874.40

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Solution

The fourth proportional to 407,158.88, 561,880.68 and 225,874.40 is: 311,707.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,158.88 : 561,880.68 = 225,874.40 : x
  2. Step 2: Convert to fraction form
    407,158.88/561,880.68 = 225,874.40/x
  3. Step 3: Cross multiply
    407,158.88x = 561,880.68 × 225,874.40
  4. Step 4: Simplify right side
    407,158.88x = 126,914,461,466.59
  5. Step 5: Solve for x
    x = 126,914,461,466.59/407,158.88
  6. Step 6: Final answer
    x = 311,707.46

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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.