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Finding the Fourth Proportional to 228,604.47, 315,405.92 and 147,904.17

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Solution

The fourth proportional to 228,604.47, 315,405.92 and 147,904.17 is: 204,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,604.47 : 315,405.92 = 147,904.17 : x
  2. Step 2: Convert to fraction form
    228,604.47/315,405.92 = 147,904.17/x
  3. Step 3: Cross multiply
    228,604.47x = 315,405.92 × 147,904.17
  4. Step 4: Simplify right side
    228,604.47x = 46,649,850,071.17
  5. Step 5: Solve for x
    x = 46,649,850,071.17/228,604.47
  6. Step 6: Final answer
    x = 204,063.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.