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Finding the Fourth Proportional to 567,906.78, 783,726.14 and 309,788.08

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Solution

The fourth proportional to 567,906.78, 783,726.14 and 309,788.08 is: 427,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,906.78 : 783,726.14 = 309,788.08 : x
  2. Step 2: Convert to fraction form
    567,906.78/783,726.14 = 309,788.08/x
  3. Step 3: Cross multiply
    567,906.78x = 783,726.14 × 309,788.08
  4. Step 4: Simplify right side
    567,906.78x = 242,789,014,971.57
  5. Step 5: Solve for x
    x = 242,789,014,971.57/567,906.78
  6. Step 6: Final answer
    x = 427,515.61

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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.