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Finding the Fourth Proportional to 492,971.52, 680,300.68 and 266,617

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Solution

The fourth proportional to 492,971.52, 680,300.68 and 266,617 is: 367,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,971.52 : 680,300.68 = 266,617 : x
  2. Step 2: Convert to fraction form
    492,971.52/680,300.68 = 266,617/x
  3. Step 3: Cross multiply
    492,971.52x = 680,300.68 × 266,617
  4. Step 4: Simplify right side
    492,971.52x = 181,379,726,399.56
  5. Step 5: Solve for x
    x = 181,379,726,399.56/492,971.52
  6. Step 6: Final answer
    x = 367,931.45

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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.