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Finding the Fourth Proportional to 305,459.60, 457,800.60 and 272,022.80

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Solution

The fourth proportional to 305,459.60, 457,800.60 and 272,022.80 is: 407,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,459.60 : 457,800.60 = 272,022.80 : x
  2. Step 2: Convert to fraction form
    305,459.60/457,800.60 = 272,022.80/x
  3. Step 3: Cross multiply
    305,459.60x = 457,800.60 × 272,022.80
  4. Step 4: Simplify right side
    305,459.60x = 124,532,201,053.68
  5. Step 5: Solve for x
    x = 124,532,201,053.68/305,459.60
  6. Step 6: Final answer
    x = 407,687.96

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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.