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Finding the Fourth Proportional to 407,871.15, 562,862.79 and 226,578.15

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Solution

The fourth proportional to 407,871.15, 562,862.79 and 226,578.15 is: 312,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,871.15 : 562,862.79 = 226,578.15 : x
  2. Step 2: Convert to fraction form
    407,871.15/562,862.79 = 226,578.15/x
  3. Step 3: Cross multiply
    407,871.15x = 562,862.79 × 226,578.15
  4. Step 4: Simplify right side
    407,871.15x = 127,532,409,662.04
  5. Step 5: Solve for x
    x = 127,532,409,662.04/407,871.15
  6. Step 6: Final answer
    x = 312,678.18

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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.