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Finding the Fourth Proportional to 486,056.80, 729,085.20 and 309,347.20

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Solution

The fourth proportional to 486,056.80, 729,085.20 and 309,347.20 is: 464,020.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,056.80 : 729,085.20 = 309,347.20 : x
  2. Step 2: Convert to fraction form
    486,056.80/729,085.20 = 309,347.20/x
  3. Step 3: Cross multiply
    486,056.80x = 729,085.20 × 309,347.20
  4. Step 4: Simplify right side
    486,056.80x = 225,540,465,181.44
  5. Step 5: Solve for x
    x = 225,540,465,181.44/486,056.80
  6. Step 6: Final answer
    x = 464,020.80

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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.