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Finding the Fourth Proportional to 397,803.66, 548,982.51 and 216,522.16

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Solution

The fourth proportional to 397,803.66, 548,982.51 and 216,522.16 is: 298,807.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,803.66 : 548,982.51 = 216,522.16 : x
  2. Step 2: Convert to fraction form
    397,803.66/548,982.51 = 216,522.16/x
  3. Step 3: Cross multiply
    397,803.66x = 548,982.51 × 216,522.16
  4. Step 4: Simplify right side
    397,803.66x = 118,866,878,867.42
  5. Step 5: Solve for x
    x = 118,866,878,867.42/397,803.66
  6. Step 6: Final answer
    x = 298,807.91

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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.