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Finding the Fourth Proportional to 407,410.21, 562,221.84 and 226,123.70

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Solution

The fourth proportional to 407,410.21, 562,221.84 and 226,123.70 is: 312,048.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,410.21 : 562,221.84 = 226,123.70 : x
  2. Step 2: Convert to fraction form
    407,410.21/562,221.84 = 226,123.70/x
  3. Step 3: Cross multiply
    407,410.21x = 562,221.84 × 226,123.70
  4. Step 4: Simplify right side
    407,410.21x = 127,131,681,973.04
  5. Step 5: Solve for x
    x = 127,131,681,973.04/407,410.21
  6. Step 6: Final answer
    x = 312,048.35

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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.