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Finding the Fourth Proportional to 401,409.39, 601,964.06 and 161,442.30

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Solution

The fourth proportional to 401,409.39, 601,964.06 and 161,442.30 is: 242,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,409.39 : 601,964.06 = 161,442.30 : x
  2. Step 2: Convert to fraction form
    401,409.39/601,964.06 = 161,442.30/x
  3. Step 3: Cross multiply
    401,409.39x = 601,964.06 × 161,442.30
  4. Step 4: Simplify right side
    401,409.39x = 97,182,462,363.74
  5. Step 5: Solve for x
    x = 97,182,462,363.74/401,409.39
  6. Step 6: Final answer
    x = 242,103.11

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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.