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Finding the Fourth Proportional to 401,048.20, 601,572.30 and 134,817.40

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Solution

The fourth proportional to 401,048.20, 601,572.30 and 134,817.40 is: 202,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,048.20 : 601,572.30 = 134,817.40 : x
  2. Step 2: Convert to fraction form
    401,048.20/601,572.30 = 134,817.40/x
  3. Step 3: Cross multiply
    401,048.20x = 601,572.30 × 134,817.40
  4. Step 4: Simplify right side
    401,048.20x = 81,102,413,398.02
  5. Step 5: Solve for x
    x = 81,102,413,398.02/401,048.20
  6. Step 6: Final answer
    x = 202,226.10

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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.