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Finding the Fourth Proportional to 257,604.78, 355,261.89 and 160,817.58

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Solution

The fourth proportional to 257,604.78, 355,261.89 and 160,817.58 is: 221,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,604.78 : 355,261.89 = 160,817.58 : x
  2. Step 2: Convert to fraction form
    257,604.78/355,261.89 = 160,817.58/x
  3. Step 3: Cross multiply
    257,604.78x = 355,261.89 × 160,817.58
  4. Step 4: Simplify right side
    257,604.78x = 57,132,354,835.63
  5. Step 5: Solve for x
    x = 57,132,354,835.63/257,604.78
  6. Step 6: Final answer
    x = 221,782.98

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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.