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Finding the Fourth Proportional to 458,069.51, 687,107.91 and 188,128.10

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Solution

The fourth proportional to 458,069.51, 687,107.91 and 188,128.10 is: 282,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,069.51 : 687,107.91 = 188,128.10 : x
  2. Step 2: Convert to fraction form
    458,069.51/687,107.91 = 188,128.10/x
  3. Step 3: Cross multiply
    458,069.51x = 687,107.91 × 188,128.10
  4. Step 4: Simplify right side
    458,069.51x = 129,264,302,167.73
  5. Step 5: Solve for x
    x = 129,264,302,167.73/458,069.51
  6. Step 6: Final answer
    x = 282,193.64

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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.