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Finding the Fourth Proportional to 255,234.47, 382,906.40 and 77,755.77

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Solution

The fourth proportional to 255,234.47, 382,906.40 and 77,755.77 is: 116,650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,234.47 : 382,906.40 = 77,755.77 : x
  2. Step 2: Convert to fraction form
    255,234.47/382,906.40 = 77,755.77/x
  3. Step 3: Cross multiply
    255,234.47x = 382,906.40 × 77,755.77
  4. Step 4: Simplify right side
    255,234.47x = 29,773,181,581.15
  5. Step 5: Solve for x
    x = 29,773,181,581.15/255,234.47
  6. Step 6: Final answer
    x = 116,650.32

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1.5x scale

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.