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Finding the Fourth Proportional to 492,496.61, 679,645.32 and 266,142.11

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Solution

The fourth proportional to 492,496.61, 679,645.32 and 266,142.11 is: 367,276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,496.61 : 679,645.32 = 266,142.11 : x
  2. Step 2: Convert to fraction form
    492,496.61/679,645.32 = 266,142.11/x
  3. Step 3: Cross multiply
    492,496.61x = 679,645.32 × 266,142.11
  4. Step 4: Simplify right side
    492,496.61x = 180,882,235,120.17
  5. Step 5: Solve for x
    x = 180,882,235,120.17/492,496.61
  6. Step 6: Final answer
    x = 367,276.11

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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.