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Finding the Fourth Proportional to 417,831.82, 576,036.64 and 287,005.48

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Solution

The fourth proportional to 417,831.82, 576,036.64 and 287,005.48 is: 395,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,831.82 : 576,036.64 = 287,005.48 : x
  2. Step 2: Convert to fraction form
    417,831.82/576,036.64 = 287,005.48/x
  3. Step 3: Cross multiply
    417,831.82x = 576,036.64 × 287,005.48
  4. Step 4: Simplify right side
    417,831.82x = 165,325,672,360.79
  5. Step 5: Solve for x
    x = 165,325,672,360.79/417,831.82
  6. Step 6: Final answer
    x = 395,675.16

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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.