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Finding the Fourth Proportional to 492,788.64, 680,046.80 and 266,434.08

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Solution

The fourth proportional to 492,788.64, 680,046.80 and 266,434.08 is: 367,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,788.64 : 680,046.80 = 266,434.08 : x
  2. Step 2: Convert to fraction form
    492,788.64/680,046.80 = 266,434.08/x
  3. Step 3: Cross multiply
    492,788.64x = 680,046.80 × 266,434.08
  4. Step 4: Simplify right side
    492,788.64x = 181,187,643,514.94
  5. Step 5: Solve for x
    x = 181,187,643,514.94/492,788.64
  6. Step 6: Final answer
    x = 367,678.21

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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.