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Finding the Fourth Proportional to 1,261,098, 1,740,309 and 688,136.40

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Solution

The fourth proportional to 1,261,098, 1,740,309 and 688,136.40 is: 949,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,098 : 1,740,309 = 688,136.40 : x
  2. Step 2: Convert to fraction form
    1,261,098/1,740,309 = 688,136.40/x
  3. Step 3: Cross multiply
    1,261,098x = 1,740,309 × 688,136.40
  4. Step 4: Simplify right side
    1,261,098x = 1,197,569,970,147.60
  5. Step 5: Solve for x
    x = 1,197,569,970,147.60/1,261,098
  6. Step 6: Final answer
    x = 949,624.83

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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.