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Finding the Fourth Proportional to 401,009.92, 601,544.40 and 134,768.50

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Solution

The fourth proportional to 401,009.92, 601,544.40 and 134,768.50 is: 202,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,009.92 : 601,544.40 = 134,768.50 : x
  2. Step 2: Convert to fraction form
    401,009.92/601,544.40 = 134,768.50/x
  3. Step 3: Cross multiply
    401,009.92x = 601,544.40 × 134,768.50
  4. Step 4: Simplify right side
    401,009.92x = 81,069,236,471.40
  5. Step 5: Solve for x
    x = 81,069,236,471.40/401,009.92
  6. Step 6: Final answer
    x = 202,162.67

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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.