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Finding the Fourth Proportional to 509,957.78, 765,031.26 and 168,424.84

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Solution

The fourth proportional to 509,957.78, 765,031.26 and 168,424.84 is: 252,668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,957.78 : 765,031.26 = 168,424.84 : x
  2. Step 2: Convert to fraction form
    509,957.78/765,031.26 = 168,424.84/x
  3. Step 3: Cross multiply
    509,957.78x = 765,031.26 × 168,424.84
  4. Step 4: Simplify right side
    509,957.78x = 128,850,269,878.95
  5. Step 5: Solve for x
    x = 128,850,269,878.95/509,957.78
  6. Step 6: Final answer
    x = 252,668.51

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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.