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Finding the Fourth Proportional to 510,817.58, 704,769.10 and 290,018.75

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Solution

The fourth proportional to 510,817.58, 704,769.10 and 290,018.75 is: 400,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,817.58 : 704,769.10 = 290,018.75 : x
  2. Step 2: Convert to fraction form
    510,817.58/704,769.10 = 290,018.75/x
  3. Step 3: Cross multiply
    510,817.58x = 704,769.10 × 290,018.75
  4. Step 4: Simplify right side
    510,817.58x = 204,396,252,902.19
  5. Step 5: Solve for x
    x = 204,396,252,902.19/510,817.58
  6. Step 6: Final answer
    x = 400,135.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.