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Finding the Fourth Proportional to 291,765.86, 437,543.49 and 123,299.20

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Solution

The fourth proportional to 291,765.86, 437,543.49 and 123,299.20 is: 184,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,765.86 : 437,543.49 = 123,299.20 : x
  2. Step 2: Convert to fraction form
    291,765.86/437,543.49 = 123,299.20/x
  3. Step 3: Cross multiply
    291,765.86x = 437,543.49 × 123,299.20
  4. Step 4: Simplify right side
    291,765.86x = 53,948,760,094.49
  5. Step 5: Solve for x
    x = 53,948,760,094.49/291,765.86
  6. Step 6: Final answer
    x = 184,904.29

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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.