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Finding the Fourth Proportional to 510,488.72, 765,733.08 and 136,502

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Solution

The fourth proportional to 510,488.72, 765,733.08 and 136,502 is: 204,753

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,488.72 : 765,733.08 = 136,502 : x
  2. Step 2: Convert to fraction form
    510,488.72/765,733.08 = 136,502/x
  3. Step 3: Cross multiply
    510,488.72x = 765,733.08 × 136,502
  4. Step 4: Simplify right side
    510,488.72x = 104,524,096,886.16
  5. Step 5: Solve for x
    x = 104,524,096,886.16/510,488.72
  6. Step 6: Final answer
    x = 204,753

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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.