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Finding the Fourth Proportional to 257,225.49, 385,858.17 and 77,296.86

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Solution

The fourth proportional to 257,225.49, 385,858.17 and 77,296.86 is: 115,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,225.49 : 385,858.17 = 77,296.86 : x
  2. Step 2: Convert to fraction form
    257,225.49/385,858.17 = 77,296.86/x
  3. Step 3: Cross multiply
    257,225.49x = 385,858.17 × 77,296.86
  4. Step 4: Simplify right side
    257,225.49x = 29,825,624,946.35
  5. Step 5: Solve for x
    x = 29,825,624,946.35/257,225.49
  6. Step 6: Final answer
    x = 115,951.28

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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.