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Finding the Fourth Proportional to 423,580.86, 635,184.72 and 199,005.12

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Solution

The fourth proportional to 423,580.86, 635,184.72 and 199,005.12 is: 298,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,580.86 : 635,184.72 = 199,005.12 : x
  2. Step 2: Convert to fraction form
    423,580.86/635,184.72 = 199,005.12/x
  3. Step 3: Cross multiply
    423,580.86x = 635,184.72 × 199,005.12
  4. Step 4: Simplify right side
    423,580.86x = 126,405,011,425.77
  5. Step 5: Solve for x
    x = 126,405,011,425.77/423,580.86
  6. Step 6: Final answer
    x = 298,420.03

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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.