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Finding the Fourth Proportional to 458,070.26, 687,109.04 and 188,128.85

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Solution

The fourth proportional to 458,070.26, 687,109.04 and 188,128.85 is: 282,194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,070.26 : 687,109.04 = 188,128.85 : x
  2. Step 2: Convert to fraction form
    458,070.26/687,109.04 = 188,128.85/x
  3. Step 3: Cross multiply
    458,070.26x = 687,109.04 × 188,128.85
  4. Step 4: Simplify right side
    458,070.26x = 129,265,029,143.62
  5. Step 5: Solve for x
    x = 129,265,029,143.62/458,070.26
  6. Step 6: Final answer
    x = 282,194.77

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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.