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Finding the Fourth Proportional to 288,894.94, 398,686.77 and 159,831.19

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Solution

The fourth proportional to 288,894.94, 398,686.77 and 159,831.19 is: 220,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,894.94 : 398,686.77 = 159,831.19 : x
  2. Step 2: Convert to fraction form
    288,894.94/398,686.77 = 159,831.19/x
  3. Step 3: Cross multiply
    288,894.94x = 398,686.77 × 159,831.19
  4. Step 4: Simplify right side
    288,894.94x = 63,722,580,886.36
  5. Step 5: Solve for x
    x = 63,722,580,886.36/288,894.94
  6. Step 6: Final answer
    x = 220,573.54

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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.