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Finding the Fourth Proportional to 419,031.89, 577,861.99 and 281,521.50

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Solution

The fourth proportional to 419,031.89, 577,861.99 and 281,521.50 is: 388,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,031.89 : 577,861.99 = 281,521.50 : x
  2. Step 2: Convert to fraction form
    419,031.89/577,861.99 = 281,521.50/x
  3. Step 3: Cross multiply
    419,031.89x = 577,861.99 × 281,521.50
  4. Step 4: Simplify right side
    419,031.89x = 162,680,574,217.79
  5. Step 5: Solve for x
    x = 162,680,574,217.79/419,031.89
  6. Step 6: Final answer
    x = 388,229.58

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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.