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Finding the Fourth Proportional to 305,718.60, 458,189.10 and 272,281.80

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Solution

The fourth proportional to 305,718.60, 458,189.10 and 272,281.80 is: 408,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,718.60 : 458,189.10 = 272,281.80 : x
  2. Step 2: Convert to fraction form
    305,718.60/458,189.10 = 272,281.80/x
  3. Step 3: Cross multiply
    305,718.60x = 458,189.10 × 272,281.80
  4. Step 4: Simplify right side
    305,718.60x = 124,756,552,888.38
  5. Step 5: Solve for x
    x = 124,756,552,888.38/305,718.60
  6. Step 6: Final answer
    x = 408,076.42

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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.