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Finding the Fourth Proportional to 257,007.97, 354,831.99 and 165,164.50

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Solution

The fourth proportional to 257,007.97, 354,831.99 and 165,164.50 is: 228,030.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,007.97 : 354,831.99 = 165,164.50 : x
  2. Step 2: Convert to fraction form
    257,007.97/354,831.99 = 165,164.50/x
  3. Step 3: Cross multiply
    257,007.97x = 354,831.99 × 165,164.50
  4. Step 4: Simplify right side
    257,007.97x = 58,605,646,438.20
  5. Step 5: Solve for x
    x = 58,605,646,438.20/257,007.97
  6. Step 6: Final answer
    x = 228,030.47

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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.