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Finding the Fourth Proportional to 305,894.40, 458,393.40 and 274,304.40

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Solution

The fourth proportional to 305,894.40, 458,393.40 and 274,304.40 is: 411,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,894.40 : 458,393.40 = 274,304.40 : x
  2. Step 2: Convert to fraction form
    305,894.40/458,393.40 = 274,304.40/x
  3. Step 3: Cross multiply
    305,894.40x = 458,393.40 × 274,304.40
  4. Step 4: Simplify right side
    305,894.40x = 125,739,326,550.96
  5. Step 5: Solve for x
    x = 125,739,326,550.96/305,894.40
  6. Step 6: Final answer
    x = 411,054.69

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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.