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Finding the Fourth Proportional to 292,128.72, 403,137.72 and 164,831.28

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Solution

The fourth proportional to 292,128.72, 403,137.72 and 164,831.28 is: 227,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,128.72 : 403,137.72 = 164,831.28 : x
  2. Step 2: Convert to fraction form
    292,128.72/403,137.72 = 164,831.28/x
  3. Step 3: Cross multiply
    292,128.72x = 403,137.72 × 164,831.28
  4. Step 4: Simplify right side
    292,128.72x = 66,449,706,403.88
  5. Step 5: Solve for x
    x = 66,449,706,403.88/292,128.72
  6. Step 6: Final answer
    x = 227,467.22

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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.