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Finding the Fourth Proportional to 257,672.64, 385,771.68 and 174,417.60

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Solution

The fourth proportional to 257,672.64, 385,771.68 and 174,417.60 is: 261,127.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,672.64 : 385,771.68 = 174,417.60 : x
  2. Step 2: Convert to fraction form
    257,672.64/385,771.68 = 174,417.60/x
  3. Step 3: Cross multiply
    257,672.64x = 385,771.68 × 174,417.60
  4. Step 4: Simplify right side
    257,672.64x = 67,285,370,573.57
  5. Step 5: Solve for x
    x = 67,285,370,573.57/257,672.64
  6. Step 6: Final answer
    x = 261,127.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.