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Finding the Fourth Proportional to 613,725.80, 920,640.66 and 187,357.16

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Solution

The fourth proportional to 613,725.80, 920,640.66 and 187,357.16 is: 281,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,725.80 : 920,640.66 = 187,357.16 : x
  2. Step 2: Convert to fraction form
    613,725.80/920,640.66 = 187,357.16/x
  3. Step 3: Cross multiply
    613,725.80x = 920,640.66 × 187,357.16
  4. Step 4: Simplify right side
    613,725.80x = 172,488,619,438.13
  5. Step 5: Solve for x
    x = 172,488,619,438.13/613,725.80
  6. Step 6: Final answer
    x = 281,051.60

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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.