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Finding the Fourth Proportional to 510,430.94, 765,588.04 and 136,483.10

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Solution

The fourth proportional to 510,430.94, 765,588.04 and 136,483.10 is: 204,709.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,430.94 : 765,588.04 = 136,483.10 : x
  2. Step 2: Convert to fraction form
    510,430.94/765,588.04 = 136,483.10/x
  3. Step 3: Cross multiply
    510,430.94x = 765,588.04 × 136,483.10
  4. Step 4: Simplify right side
    510,430.94x = 104,489,829,022.12
  5. Step 5: Solve for x
    x = 104,489,829,022.12/510,430.94
  6. Step 6: Final answer
    x = 204,709.04

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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.