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Finding the Fourth Proportional to 510,516.48, 765,774.54 and 136,529.76

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Solution

The fourth proportional to 510,516.48, 765,774.54 and 136,529.76 is: 204,794.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,516.48 : 765,774.54 = 136,529.76 : x
  2. Step 2: Convert to fraction form
    510,516.48/765,774.54 = 136,529.76/x
  3. Step 3: Cross multiply
    510,516.48x = 765,774.54 × 136,529.76
  4. Step 4: Simplify right side
    510,516.48x = 104,551,014,160.31
  5. Step 5: Solve for x
    x = 104,551,014,160.31/510,516.48
  6. Step 6: Final answer
    x = 204,794.59

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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.