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Finding the Fourth Proportional to 568,097.64, 783,971.76 and 309,974.52

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Solution

The fourth proportional to 568,097.64, 783,971.76 and 309,974.52 is: 427,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,097.64 : 783,971.76 = 309,974.52 : x
  2. Step 2: Convert to fraction form
    568,097.64/783,971.76 = 309,974.52/x
  3. Step 3: Cross multiply
    568,097.64x = 783,971.76 × 309,974.52
  4. Step 4: Simplify right side
    568,097.64x = 243,011,269,999.56
  5. Step 5: Solve for x
    x = 243,011,269,999.56/568,097.64
  6. Step 6: Final answer
    x = 427,763.21

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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.