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Finding the Fourth Proportional to 305,614.80, 458,425.32 and 92,384.40

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Solution

The fourth proportional to 305,614.80, 458,425.32 and 92,384.40 is: 138,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,614.80 : 458,425.32 = 92,384.40 : x
  2. Step 2: Convert to fraction form
    305,614.80/458,425.32 = 92,384.40/x
  3. Step 3: Cross multiply
    305,614.80x = 458,425.32 × 92,384.40
  4. Step 4: Simplify right side
    305,614.80x = 42,351,348,133.01
  5. Step 5: Solve for x
    x = 42,351,348,133.01/305,614.80
  6. Step 6: Final answer
    x = 138,577.54

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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.