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Finding the Fourth Proportional to 228,544.70, 315,419.88 and 137,952.68

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Solution

The fourth proportional to 228,544.70, 315,419.88 and 137,952.68 is: 190,391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,544.70 : 315,419.88 = 137,952.68 : x
  2. Step 2: Convert to fraction form
    228,544.70/315,419.88 = 137,952.68/x
  3. Step 3: Cross multiply
    228,544.70x = 315,419.88 × 137,952.68
  4. Step 4: Simplify right side
    228,544.70x = 43,513,017,771.28
  5. Step 5: Solve for x
    x = 43,513,017,771.28/228,544.70
  6. Step 6: Final answer
    x = 190,391.72

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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.