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Finding the Fourth Proportional to 315,911.70, 473,601 and 147,343.23

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Solution

The fourth proportional to 315,911.70, 473,601 and 147,343.23 is: 220,890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,911.70 : 473,601 = 147,343.23 : x
  2. Step 2: Convert to fraction form
    315,911.70/473,601 = 147,343.23/x
  3. Step 3: Cross multiply
    315,911.70x = 473,601 × 147,343.23
  4. Step 4: Simplify right side
    315,911.70x = 69,781,901,071.23
  5. Step 5: Solve for x
    x = 69,781,901,071.23/315,911.70
  6. Step 6: Final answer
    x = 220,890.52

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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.