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Finding the Fourth Proportional to 510,478.57, 765,833.08 and 168,921.12

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Solution

The fourth proportional to 510,478.57, 765,833.08 and 168,921.12 is: 253,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,478.57 : 765,833.08 = 168,921.12 : x
  2. Step 2: Convert to fraction form
    510,478.57/765,833.08 = 168,921.12/x
  3. Step 3: Cross multiply
    510,478.57x = 765,833.08 × 168,921.12
  4. Step 4: Simplify right side
    510,478.57x = 129,365,381,606.65
  5. Step 5: Solve for x
    x = 129,365,381,606.65/510,478.57
  6. Step 6: Final answer
    x = 253,419.81

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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.