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Finding the Fourth Proportional to 862,915.80, 1,293,401.70 and 413,851.80

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Solution

The fourth proportional to 862,915.80, 1,293,401.70 and 413,851.80 is: 620,311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,915.80 : 1,293,401.70 = 413,851.80 : x
  2. Step 2: Convert to fraction form
    862,915.80/1,293,401.70 = 413,851.80/x
  3. Step 3: Cross multiply
    862,915.80x = 1,293,401.70 × 413,851.80
  4. Step 4: Simplify right side
    862,915.80x = 535,276,621,668.06
  5. Step 5: Solve for x
    x = 535,276,621,668.06/862,915.80
  6. Step 6: Final answer
    x = 620,311.53

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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.