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Finding the Fourth Proportional to 407,649, 562,536.74 and 226,372.43

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Solution

The fourth proportional to 407,649, 562,536.74 and 226,372.43 is: 312,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,649 : 562,536.74 = 226,372.43 : x
  2. Step 2: Convert to fraction form
    407,649/562,536.74 = 226,372.43/x
  3. Step 3: Cross multiply
    407,649x = 562,536.74 × 226,372.43
  4. Step 4: Simplify right side
    407,649x = 127,342,804,853.53
  5. Step 5: Solve for x
    x = 127,342,804,853.53/407,649
  6. Step 6: Final answer
    x = 312,383.46

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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.