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Finding the Fourth Proportional to 291,678.72, 437,542.78 and 81,316.86

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Solution

The fourth proportional to 291,678.72, 437,542.78 and 81,316.86 is: 121,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,678.72 : 437,542.78 = 81,316.86 : x
  2. Step 2: Convert to fraction form
    291,678.72/437,542.78 = 81,316.86/x
  3. Step 3: Cross multiply
    291,678.72x = 437,542.78 × 81,316.86
  4. Step 4: Simplify right side
    291,678.72x = 35,579,604,985.27
  5. Step 5: Solve for x
    x = 35,579,604,985.27/291,678.72
  6. Step 6: Final answer
    x = 121,982.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.