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Finding the Fourth Proportional to 407,655.05, 562,545 and 226,378.44

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Solution

The fourth proportional to 407,655.05, 562,545 and 226,378.44 is: 312,391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,655.05 : 562,545 = 226,378.44 : x
  2. Step 2: Convert to fraction form
    407,655.05/562,545 = 226,378.44/x
  3. Step 3: Cross multiply
    407,655.05x = 562,545 × 226,378.44
  4. Step 4: Simplify right side
    407,655.05x = 127,348,059,529.80
  5. Step 5: Solve for x
    x = 127,348,059,529.80/407,655.05
  6. Step 6: Final answer
    x = 312,391.72

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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.