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Finding the Fourth Proportional to 285,795, 394,508.05 and 214,382.77

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Solution

The fourth proportional to 285,795, 394,508.05 and 214,382.77 is: 295,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,795 : 394,508.05 = 214,382.77 : x
  2. Step 2: Convert to fraction form
    285,795/394,508.05 = 214,382.77/x
  3. Step 3: Cross multiply
    285,795x = 394,508.05 × 214,382.77
  4. Step 4: Simplify right side
    285,795x = 84,575,727,024.07
  5. Step 5: Solve for x
    x = 84,575,727,024.07/285,795
  6. Step 6: Final answer
    x = 295,931.44

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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.