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Finding the Fourth Proportional to 542,109.12, 812,769.12 and 226,655.52

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Solution

The fourth proportional to 542,109.12, 812,769.12 and 226,655.52 is: 339,818.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,109.12 : 812,769.12 = 226,655.52 : x
  2. Step 2: Convert to fraction form
    542,109.12/812,769.12 = 226,655.52/x
  3. Step 3: Cross multiply
    542,109.12x = 812,769.12 × 226,655.52
  4. Step 4: Simplify right side
    542,109.12x = 184,218,607,533.54
  5. Step 5: Solve for x
    x = 184,218,607,533.54/542,109.12
  6. Step 6: Final answer
    x = 339,818.31

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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.