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Finding the Fourth Proportional to 401,067.70, 601,407.15 and 223,386.10

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Solution

The fourth proportional to 401,067.70, 601,407.15 and 223,386.10 is: 334,970.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,067.70 : 601,407.15 = 223,386.10 : x
  2. Step 2: Convert to fraction form
    401,067.70/601,407.15 = 223,386.10/x
  3. Step 3: Cross multiply
    401,067.70x = 601,407.15 × 223,386.10
  4. Step 4: Simplify right side
    401,067.70x = 134,345,997,750.62
  5. Step 5: Solve for x
    x = 134,345,997,750.62/401,067.70
  6. Step 6: Final answer
    x = 334,970.87

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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.