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Finding the Fourth Proportional to 587,049.60, 810,532.80 and 434,121.60

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Solution

The fourth proportional to 587,049.60, 810,532.80 and 434,121.60 is: 599,386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,049.60 : 810,532.80 = 434,121.60 : x
  2. Step 2: Convert to fraction form
    587,049.60/810,532.80 = 434,121.60/x
  3. Step 3: Cross multiply
    587,049.60x = 810,532.80 × 434,121.60
  4. Step 4: Simplify right side
    587,049.60x = 351,869,795,988.48
  5. Step 5: Solve for x
    x = 351,869,795,988.48/587,049.60
  6. Step 6: Final answer
    x = 599,386.83

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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.