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Finding the Fourth Proportional to 512,985.52, 769,516.93 and 153,127.94

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Solution

The fourth proportional to 512,985.52, 769,516.93 and 153,127.94 is: 229,703.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,985.52 : 769,516.93 = 153,127.94 : x
  2. Step 2: Convert to fraction form
    512,985.52/769,516.93 = 153,127.94/x
  3. Step 3: Cross multiply
    512,985.52x = 769,516.93 × 153,127.94
  4. Step 4: Simplify right side
    512,985.52x = 117,834,538,629.85
  5. Step 5: Solve for x
    x = 117,834,538,629.85/512,985.52
  6. Step 6: Final answer
    x = 229,703.44

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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.