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Finding the Fourth Proportional to 257,373.78, 355,195.94 and 165,575.04

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Solution

The fourth proportional to 257,373.78, 355,195.94 and 165,575.04 is: 228,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,373.78 : 355,195.94 = 165,575.04 : x
  2. Step 2: Convert to fraction form
    257,373.78/355,195.94 = 165,575.04/x
  3. Step 3: Cross multiply
    257,373.78x = 355,195.94 × 165,575.04
  4. Step 4: Simplify right side
    257,373.78x = 58,811,581,973.34
  5. Step 5: Solve for x
    x = 58,811,581,973.34/257,373.78
  6. Step 6: Final answer
    x = 228,506.50

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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.