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Finding the Fourth Proportional to 407,425.79, 562,201.99 and 226,145.36

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Solution

The fourth proportional to 407,425.79, 562,201.99 and 226,145.36 is: 312,055.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,425.79 : 562,201.99 = 226,145.36 : x
  2. Step 2: Convert to fraction form
    407,425.79/562,201.99 = 226,145.36/x
  3. Step 3: Cross multiply
    407,425.79x = 562,201.99 × 226,145.36
  4. Step 4: Simplify right side
    407,425.79x = 127,139,371,421.27
  5. Step 5: Solve for x
    x = 127,139,371,421.27/407,425.79
  6. Step 6: Final answer
    x = 312,055.29

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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.