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Finding the Fourth Proportional to 242,478.54, 334,630.76 and 135,048.60

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Solution

The fourth proportional to 242,478.54, 334,630.76 and 135,048.60 is: 186,372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,478.54 : 334,630.76 = 135,048.60 : x
  2. Step 2: Convert to fraction form
    242,478.54/334,630.76 = 135,048.60/x
  3. Step 3: Cross multiply
    242,478.54x = 334,630.76 × 135,048.60
  4. Step 4: Simplify right side
    242,478.54x = 45,191,414,979.69
  5. Step 5: Solve for x
    x = 45,191,414,979.69/242,478.54
  6. Step 6: Final answer
    x = 186,372.84

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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.