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Finding the Fourth Proportional to 680,512.80, 1,020,769.20 and 523,048.80

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Solution

The fourth proportional to 680,512.80, 1,020,769.20 and 523,048.80 is: 784,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,512.80 : 1,020,769.20 = 523,048.80 : x
  2. Step 2: Convert to fraction form
    680,512.80/1,020,769.20 = 523,048.80/x
  3. Step 3: Cross multiply
    680,512.80x = 1,020,769.20 × 523,048.80
  4. Step 4: Simplify right side
    680,512.80x = 533,912,105,136.96
  5. Step 5: Solve for x
    x = 533,912,105,136.96/680,512.80
  6. Step 6: Final answer
    x = 784,573.20

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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.