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Finding the Fourth Proportional to 458,102.00, 687,196.74 and 142,474.16

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Solution

The fourth proportional to 458,102.00, 687,196.74 and 142,474.16 is: 213,724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,102.00 : 687,196.74 = 142,474.16 : x
  2. Step 2: Convert to fraction form
    458,102.00/687,196.74 = 142,474.16/x
  3. Step 3: Cross multiply
    458,102.00x = 687,196.74 × 142,474.16
  4. Step 4: Simplify right side
    458,102.00x = 97,907,774,850.25
  5. Step 5: Solve for x
    x = 97,907,774,850.25/458,102.00
  6. Step 6: Final answer
    x = 213,724.84

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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.