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Finding the Fourth Proportional to 510,446, 766,019.64 and 178,022

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Solution

The fourth proportional to 510,446, 766,019.64 and 178,022 is: 267,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,446 : 766,019.64 = 178,022 : x
  2. Step 2: Convert to fraction form
    510,446/766,019.64 = 178,022/x
  3. Step 3: Cross multiply
    510,446x = 766,019.64 × 178,022
  4. Step 4: Simplify right side
    510,446x = 136,368,348,352.08
  5. Step 5: Solve for x
    x = 136,368,348,352.08/510,446
  6. Step 6: Final answer
    x = 267,155.29

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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.