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Finding the Fourth Proportional to 287,048.28, 430,601.76 and 109,704.54

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Solution

The fourth proportional to 287,048.28, 430,601.76 and 109,704.54 is: 164,568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,048.28 : 430,601.76 = 109,704.54 : x
  2. Step 2: Convert to fraction form
    287,048.28/430,601.76 = 109,704.54/x
  3. Step 3: Cross multiply
    287,048.28x = 430,601.76 × 109,704.54
  4. Step 4: Simplify right side
    287,048.28x = 47,238,968,003.99
  5. Step 5: Solve for x
    x = 47,238,968,003.99/287,048.28
  6. Step 6: Final answer
    x = 164,568.02

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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.