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Finding the Fourth Proportional to 492,085.40, 737,667.30 and 385,410.20

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Solution

The fourth proportional to 492,085.40, 737,667.30 and 385,410.20 is: 577,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,085.40 : 737,667.30 = 385,410.20 : x
  2. Step 2: Convert to fraction form
    492,085.40/737,667.30 = 385,410.20/x
  3. Step 3: Cross multiply
    492,085.40x = 737,667.30 × 385,410.20
  4. Step 4: Simplify right side
    492,085.40x = 284,304,501,626.46
  5. Step 5: Solve for x
    x = 284,304,501,626.46/492,085.40
  6. Step 6: Final answer
    x = 577,754.39

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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.