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Finding the Fourth Proportional to 257,717.21, 355,661.72 and 160,978.34

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Solution

The fourth proportional to 257,717.21, 355,661.72 and 160,978.34 is: 222,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,717.21 : 355,661.72 = 160,978.34 : x
  2. Step 2: Convert to fraction form
    257,717.21/355,661.72 = 160,978.34/x
  3. Step 3: Cross multiply
    257,717.21x = 355,661.72 × 160,978.34
  4. Step 4: Simplify right side
    257,717.21x = 57,253,830,703.94
  5. Step 5: Solve for x
    x = 57,253,830,703.94/257,717.21
  6. Step 6: Final answer
    x = 222,157.58

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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.