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Finding the Fourth Proportional to 319,065.72, 478,308.92 and 159,190.55

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Solution

The fourth proportional to 319,065.72, 478,308.92 and 159,190.55 is: 238,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,065.72 : 478,308.92 = 159,190.55 : x
  2. Step 2: Convert to fraction form
    319,065.72/478,308.92 = 159,190.55/x
  3. Step 3: Cross multiply
    319,065.72x = 478,308.92 × 159,190.55
  4. Step 4: Simplify right side
    319,065.72x = 76,142,258,650.87
  5. Step 5: Solve for x
    x = 76,142,258,650.87/319,065.72
  6. Step 6: Final answer
    x = 238,641.30

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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.