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Finding the Fourth Proportional to 315,310.72, 434,912.16 and 187,888

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Solution

The fourth proportional to 315,310.72, 434,912.16 and 187,888 is: 259,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,310.72 : 434,912.16 = 187,888 : x
  2. Step 2: Convert to fraction form
    315,310.72/434,912.16 = 187,888/x
  3. Step 3: Cross multiply
    315,310.72x = 434,912.16 × 187,888
  4. Step 4: Simplify right side
    315,310.72x = 81,714,775,918.08
  5. Step 5: Solve for x
    x = 81,714,775,918.08/315,310.72
  6. Step 6: Final answer
    x = 259,156.35

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1.5x scale

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.