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Finding the Fourth Proportional to 493,013.90, 680,359.16 and 266,659.40

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Solution

The fourth proportional to 493,013.90, 680,359.16 and 266,659.40 is: 367,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,013.90 : 680,359.16 = 266,659.40 : x
  2. Step 2: Convert to fraction form
    493,013.90/680,359.16 = 266,659.40/x
  3. Step 3: Cross multiply
    493,013.90x = 680,359.16 × 266,659.40
  4. Step 4: Simplify right side
    493,013.90x = 181,424,165,390.10
  5. Step 5: Solve for x
    x = 181,424,165,390.10/493,013.90
  6. Step 6: Final answer
    x = 367,989.96

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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.