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Finding the Fourth Proportional to 345,133.80, 517,895.10 and 134,744.40

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Solution

The fourth proportional to 345,133.80, 517,895.10 and 134,744.40 is: 202,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,133.80 : 517,895.10 = 134,744.40 : x
  2. Step 2: Convert to fraction form
    345,133.80/517,895.10 = 134,744.40/x
  3. Step 3: Cross multiply
    345,133.80x = 517,895.10 × 134,744.40
  4. Step 4: Simplify right side
    345,133.80x = 69,783,464,512.44
  5. Step 5: Solve for x
    x = 69,783,464,512.44/345,133.80
  6. Step 6: Final answer
    x = 202,192.50

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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.