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Finding the Fourth Proportional to 401,119.32, 601,601.20 and 151,820.76

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Solution

The fourth proportional to 401,119.32, 601,601.20 and 151,820.76 is: 227,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,119.32 : 601,601.20 = 151,820.76 : x
  2. Step 2: Convert to fraction form
    401,119.32/601,601.20 = 151,820.76/x
  3. Step 3: Cross multiply
    401,119.32x = 601,601.20 × 151,820.76
  4. Step 4: Simplify right side
    401,119.32x = 91,335,551,400.91
  5. Step 5: Solve for x
    x = 91,335,551,400.91/401,119.32
  6. Step 6: Final answer
    x = 227,701.70

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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.