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Finding the Fourth Proportional to 397,641.70, 548,729.12 and 216,354.36

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Solution

The fourth proportional to 397,641.70, 548,729.12 and 216,354.36 is: 298,560.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,641.70 : 548,729.12 = 216,354.36 : x
  2. Step 2: Convert to fraction form
    397,641.70/548,729.12 = 216,354.36/x
  3. Step 3: Cross multiply
    397,641.70x = 548,729.12 × 216,354.36
  4. Step 4: Simplify right side
    397,641.70x = 118,719,937,570.96
  5. Step 5: Solve for x
    x = 118,719,937,570.96/397,641.70
  6. Step 6: Final answer
    x = 298,560.08

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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.