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Finding the Fourth Proportional to 268,190.40, 402,544.80 and 163,214.40

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Solution

The fourth proportional to 268,190.40, 402,544.80 and 163,214.40 is: 244,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,190.40 : 402,544.80 = 163,214.40 : x
  2. Step 2: Convert to fraction form
    268,190.40/402,544.80 = 163,214.40/x
  3. Step 3: Cross multiply
    268,190.40x = 402,544.80 × 163,214.40
  4. Step 4: Simplify right side
    268,190.40x = 65,701,108,005.12
  5. Step 5: Solve for x
    x = 65,701,108,005.12/268,190.40
  6. Step 6: Final answer
    x = 244,979.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.