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Finding the Fourth Proportional to 551,805.60, 827,708.40 and 492,319.20

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Solution

The fourth proportional to 551,805.60, 827,708.40 and 492,319.20 is: 738,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,805.60 : 827,708.40 = 492,319.20 : x
  2. Step 2: Convert to fraction form
    551,805.60/827,708.40 = 492,319.20/x
  3. Step 3: Cross multiply
    551,805.60x = 827,708.40 × 492,319.20
  4. Step 4: Simplify right side
    551,805.60x = 407,496,737,321.28
  5. Step 5: Solve for x
    x = 407,496,737,321.28/551,805.60
  6. Step 6: Final answer
    x = 738,478.80

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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.