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Finding the Fourth Proportional to 401,406.78, 553,941 and 220,121.58

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Solution

The fourth proportional to 401,406.78, 553,941 and 220,121.58 is: 303,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,406.78 : 553,941 = 220,121.58 : x
  2. Step 2: Convert to fraction form
    401,406.78/553,941 = 220,121.58/x
  3. Step 3: Cross multiply
    401,406.78x = 553,941 × 220,121.58
  4. Step 4: Simplify right side
    401,406.78x = 121,934,368,146.78
  5. Step 5: Solve for x
    x = 121,934,368,146.78/401,406.78
  6. Step 6: Final answer
    x = 303,767.58

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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.