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Finding the Fourth Proportional to 305,718.90, 458,643.15 and 92,469.30

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Solution

The fourth proportional to 305,718.90, 458,643.15 and 92,469.30 is: 138,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,718.90 : 458,643.15 = 92,469.30 : x
  2. Step 2: Convert to fraction form
    305,718.90/458,643.15 = 92,469.30/x
  3. Step 3: Cross multiply
    305,718.90x = 458,643.15 × 92,469.30
  4. Step 4: Simplify right side
    305,718.90x = 42,410,411,030.30
  5. Step 5: Solve for x
    x = 42,410,411,030.30/305,718.90
  6. Step 6: Final answer
    x = 138,723.55

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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.