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Finding the Fourth Proportional to 493,291.50, 680,747.13 and 266,941.86

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Solution

The fourth proportional to 493,291.50, 680,747.13 and 266,941.86 is: 368,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,291.50 : 680,747.13 = 266,941.86 : x
  2. Step 2: Convert to fraction form
    493,291.50/680,747.13 = 266,941.86/x
  3. Step 3: Cross multiply
    493,291.50x = 680,747.13 × 266,941.86
  4. Step 4: Simplify right side
    493,291.50x = 181,719,905,071.86
  5. Step 5: Solve for x
    x = 181,719,905,071.86/493,291.50
  6. Step 6: Final answer
    x = 368,382.40

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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.