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Finding the Fourth Proportional to 315,094.68, 434,820.42 and 171,857.52

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Solution

The fourth proportional to 315,094.68, 434,820.42 and 171,857.52 is: 237,157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,094.68 : 434,820.42 = 171,857.52 : x
  2. Step 2: Convert to fraction form
    315,094.68/434,820.42 = 171,857.52/x
  3. Step 3: Cross multiply
    315,094.68x = 434,820.42 × 171,857.52
  4. Step 4: Simplify right side
    315,094.68x = 74,727,159,026.56
  5. Step 5: Solve for x
    x = 74,727,159,026.56/315,094.68
  6. Step 6: Final answer
    x = 237,157.79

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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.