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Finding the Fourth Proportional to 257,671.76, 355,354.02 and 160,884.34

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Solution

The fourth proportional to 257,671.76, 355,354.02 and 160,884.34 is: 221,874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,671.76 : 355,354.02 = 160,884.34 : x
  2. Step 2: Convert to fraction form
    257,671.76/355,354.02 = 160,884.34/x
  3. Step 3: Cross multiply
    257,671.76x = 355,354.02 × 160,884.34
  4. Step 4: Simplify right side
    257,671.76x = 57,170,896,085.66
  5. Step 5: Solve for x
    x = 57,170,896,085.66/257,671.76
  6. Step 6: Final answer
    x = 221,874.90

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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.