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Finding the Fourth Proportional to 361,648, 542,508.06 and 134,004.64

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Solution

The fourth proportional to 361,648, 542,508.06 and 134,004.64 is: 201,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,648 : 542,508.06 = 134,004.64 : x
  2. Step 2: Convert to fraction form
    361,648/542,508.06 = 134,004.64/x
  3. Step 3: Cross multiply
    361,648x = 542,508.06 × 134,004.64
  4. Step 4: Simplify right side
    361,648x = 72,698,597,277.40
  5. Step 5: Solve for x
    x = 72,698,597,277.40/361,648
  6. Step 6: Final answer
    x = 201,020.32

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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.