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Finding the Fourth Proportional to 305,846.30, 458,769.45 and 242,860.70

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Solution

The fourth proportional to 305,846.30, 458,769.45 and 242,860.70 is: 364,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,846.30 : 458,769.45 = 242,860.70 : x
  2. Step 2: Convert to fraction form
    305,846.30/458,769.45 = 242,860.70/x
  3. Step 3: Cross multiply
    305,846.30x = 458,769.45 × 242,860.70
  4. Step 4: Simplify right side
    305,846.30x = 111,417,069,765.62
  5. Step 5: Solve for x
    x = 111,417,069,765.62/305,846.30
  6. Step 6: Final answer
    x = 364,291.05

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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.