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Finding the Fourth Proportional to 315,462.50, 473,123.01 and 90,772.88

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Solution

The fourth proportional to 315,462.50, 473,123.01 and 90,772.88 is: 136,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,462.50 : 473,123.01 = 90,772.88 : x
  2. Step 2: Convert to fraction form
    315,462.50/473,123.01 = 90,772.88/x
  3. Step 3: Cross multiply
    315,462.50x = 473,123.01 × 90,772.88
  4. Step 4: Simplify right side
    315,462.50x = 42,946,738,211.97
  5. Step 5: Solve for x
    x = 42,946,738,211.97/315,462.50
  6. Step 6: Final answer
    x = 136,138.96

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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.