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Finding the Fourth Proportional to 398,116.69, 549,392.83 and 216,831.80

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Solution

The fourth proportional to 398,116.69, 549,392.83 and 216,831.80 is: 299,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,116.69 : 549,392.83 = 216,831.80 : x
  2. Step 2: Convert to fraction form
    398,116.69/549,392.83 = 216,831.80/x
  3. Step 3: Cross multiply
    398,116.69x = 549,392.83 × 216,831.80
  4. Step 4: Simplify right side
    398,116.69x = 119,125,837,067.40
  5. Step 5: Solve for x
    x = 119,125,837,067.40/398,116.69
  6. Step 6: Final answer
    x = 299,223.42

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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.