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Finding the Fourth Proportional to 820,099.60, 1,229,152 and 580,282.60

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Solution

The fourth proportional to 820,099.60, 1,229,152 and 580,282.60 is: 869,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,099.60 : 1,229,152 = 580,282.60 : x
  2. Step 2: Convert to fraction form
    820,099.60/1,229,152 = 580,282.60/x
  3. Step 3: Cross multiply
    820,099.60x = 1,229,152 × 580,282.60
  4. Step 4: Simplify right side
    820,099.60x = 713,255,518,355.20
  5. Step 5: Solve for x
    x = 713,255,518,355.20/820,099.60
  6. Step 6: Final answer
    x = 869,718.16

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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.