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Finding the Fourth Proportional to 492,232.28, 679,280.53 and 265,877.78

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Solution

The fourth proportional to 492,232.28, 679,280.53 and 265,877.78 is: 366,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,232.28 : 679,280.53 = 265,877.78 : x
  2. Step 2: Convert to fraction form
    492,232.28/679,280.53 = 265,877.78/x
  3. Step 3: Cross multiply
    492,232.28x = 679,280.53 × 265,877.78
  4. Step 4: Simplify right side
    492,232.28x = 180,605,599,313.62
  5. Step 5: Solve for x
    x = 180,605,599,313.62/492,232.28
  6. Step 6: Final answer
    x = 366,911.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.