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Finding the Fourth Proportional to 401,410.68, 553,942.17 and 231,641.16

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Solution

The fourth proportional to 401,410.68, 553,942.17 and 231,641.16 is: 319,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,410.68 : 553,942.17 = 231,641.16 : x
  2. Step 2: Convert to fraction form
    401,410.68/553,942.17 = 231,641.16/x
  3. Step 3: Cross multiply
    401,410.68x = 553,942.17 × 231,641.16
  4. Step 4: Simplify right side
    401,410.68x = 128,315,806,831.72
  5. Step 5: Solve for x
    x = 128,315,806,831.72/401,410.68
  6. Step 6: Final answer
    x = 319,662.16

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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.