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Finding the Fourth Proportional to 510,421.60, 765,469.14 and 168,801.57

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Solution

The fourth proportional to 510,421.60, 765,469.14 and 168,801.57 is: 253,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,421.60 : 765,469.14 = 168,801.57 : x
  2. Step 2: Convert to fraction form
    510,421.60/765,469.14 = 168,801.57/x
  3. Step 3: Cross multiply
    510,421.60x = 765,469.14 × 168,801.57
  4. Step 4: Simplify right side
    510,421.60x = 129,212,391,985.54
  5. Step 5: Solve for x
    x = 129,212,391,985.54/510,421.60
  6. Step 6: Final answer
    x = 253,148.36

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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.