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Finding the Fourth Proportional to 407,708.58, 562,641.21 and 226,423.50

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Solution

The fourth proportional to 407,708.58, 562,641.21 and 226,423.50 is: 312,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,708.58 : 562,641.21 = 226,423.50 : x
  2. Step 2: Convert to fraction form
    407,708.58/562,641.21 = 226,423.50/x
  3. Step 3: Cross multiply
    407,708.58x = 562,641.21 × 226,423.50
  4. Step 4: Simplify right side
    407,708.58x = 127,395,192,012.44
  5. Step 5: Solve for x
    x = 127,395,192,012.44/407,708.58
  6. Step 6: Final answer
    x = 312,466.30

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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.