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Finding the Fourth Proportional to 492,971.13, 680,300.16 and 266,616.63

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Solution

The fourth proportional to 492,971.13, 680,300.16 and 266,616.63 is: 367,930.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,971.13 : 680,300.16 = 266,616.63 : x
  2. Step 2: Convert to fraction form
    492,971.13/680,300.16 = 266,616.63/x
  3. Step 3: Cross multiply
    492,971.13x = 680,300.16 × 266,616.63
  4. Step 4: Simplify right side
    492,971.13x = 181,379,336,047.66
  5. Step 5: Solve for x
    x = 181,379,336,047.66/492,971.13
  6. Step 6: Final answer
    x = 367,930.95

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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.