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Finding the Fourth Proportional to 401,408.78, 553,943.76 and 220,123.58

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Solution

The fourth proportional to 401,408.78, 553,943.76 and 220,123.58 is: 303,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,408.78 : 553,943.76 = 220,123.58 : x
  2. Step 2: Convert to fraction form
    401,408.78/553,943.76 = 220,123.58/x
  3. Step 3: Cross multiply
    401,408.78x = 553,943.76 × 220,123.58
  4. Step 4: Simplify right side
    401,408.78x = 121,936,083,569.86
  5. Step 5: Solve for x
    x = 121,936,083,569.86/401,408.78
  6. Step 6: Final answer
    x = 303,770.34

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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.