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Finding the Fourth Proportional to 458,112.87, 687,213.05 and 142,485.03

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Solution

The fourth proportional to 458,112.87, 687,213.05 and 142,485.03 is: 213,741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,112.87 : 687,213.05 = 142,485.03 : x
  2. Step 2: Convert to fraction form
    458,112.87/687,213.05 = 142,485.03/x
  3. Step 3: Cross multiply
    458,112.87x = 687,213.05 × 142,485.03
  4. Step 4: Simplify right side
    458,112.87x = 97,917,571,333.22
  5. Step 5: Solve for x
    x = 97,917,571,333.22/458,112.87
  6. Step 6: Final answer
    x = 213,741.15

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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.