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Finding the Fourth Proportional to 409,823.60, 614,735.40 and 275,979.20

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Solution

The fourth proportional to 409,823.60, 614,735.40 and 275,979.20 is: 413,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,823.60 : 614,735.40 = 275,979.20 : x
  2. Step 2: Convert to fraction form
    409,823.60/614,735.40 = 275,979.20/x
  3. Step 3: Cross multiply
    409,823.60x = 614,735.40 × 275,979.20
  4. Step 4: Simplify right side
    409,823.60x = 169,654,183,903.68
  5. Step 5: Solve for x
    x = 169,654,183,903.68/409,823.60
  6. Step 6: Final answer
    x = 413,968.80

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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.