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Finding the Fourth Proportional to 408,519.95, 612,779.98 and 109,001.64

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Solution

The fourth proportional to 408,519.95, 612,779.98 and 109,001.64 is: 163,502.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,519.95 : 612,779.98 = 109,001.64 : x
  2. Step 2: Convert to fraction form
    408,519.95/612,779.98 = 109,001.64/x
  3. Step 3: Cross multiply
    408,519.95x = 612,779.98 × 109,001.64
  4. Step 4: Simplify right side
    408,519.95x = 66,794,025,213.34
  5. Step 5: Solve for x
    x = 66,794,025,213.34/408,519.95
  6. Step 6: Final answer
    x = 163,502.48

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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.