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Finding the Fourth Proportional to 315,311.72, 434,913.54 and 187,889

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Solution

The fourth proportional to 315,311.72, 434,913.54 and 187,889 is: 259,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,311.72 : 434,913.54 = 187,889 : x
  2. Step 2: Convert to fraction form
    315,311.72/434,913.54 = 187,889/x
  3. Step 3: Cross multiply
    315,311.72x = 434,913.54 × 187,889
  4. Step 4: Simplify right side
    315,311.72x = 81,715,470,117.06
  5. Step 5: Solve for x
    x = 81,715,470,117.06/315,311.72
  6. Step 6: Final answer
    x = 259,157.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.