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Finding the Fourth Proportional to 312,225.30, 468,002.07 and 134,815.86

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Solution

The fourth proportional to 312,225.30, 468,002.07 and 134,815.86 is: 202,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,225.30 : 468,002.07 = 134,815.86 : x
  2. Step 2: Convert to fraction form
    312,225.30/468,002.07 = 134,815.86/x
  3. Step 3: Cross multiply
    312,225.30x = 468,002.07 × 134,815.86
  4. Step 4: Simplify right side
    312,225.30x = 63,094,101,548.83
  5. Step 5: Solve for x
    x = 63,094,101,548.83/312,225.30
  6. Step 6: Final answer
    x = 202,078.76

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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.