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Finding the Fourth Proportional to 394,444.16, 544,332.68 and 213,156

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Solution

The fourth proportional to 394,444.16, 544,332.68 and 213,156 is: 294,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,444.16 : 544,332.68 = 213,156 : x
  2. Step 2: Convert to fraction form
    394,444.16/544,332.68 = 213,156/x
  3. Step 3: Cross multiply
    394,444.16x = 544,332.68 × 213,156
  4. Step 4: Simplify right side
    394,444.16x = 116,027,776,738.08
  5. Step 5: Solve for x
    x = 116,027,776,738.08/394,444.16
  6. Step 6: Final answer
    x = 294,155.14

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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.