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Finding the Fourth Proportional to 361,680.66, 499,038.66 and 216,463.86

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Solution

The fourth proportional to 361,680.66, 499,038.66 and 216,463.86 is: 298,671.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,680.66 : 499,038.66 = 216,463.86 : x
  2. Step 2: Convert to fraction form
    361,680.66/499,038.66 = 216,463.86/x
  3. Step 3: Cross multiply
    361,680.66x = 499,038.66 × 216,463.86
  4. Step 4: Simplify right side
    361,680.66x = 108,023,834,632.83
  5. Step 5: Solve for x
    x = 108,023,834,632.83/361,680.66
  6. Step 6: Final answer
    x = 298,671.86

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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.