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Finding the Fourth Proportional to 287,466.84, 396,704.16 and 160,150.50

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Solution

The fourth proportional to 287,466.84, 396,704.16 and 160,150.50 is: 221,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,466.84 : 396,704.16 = 160,150.50 : x
  2. Step 2: Convert to fraction form
    287,466.84/396,704.16 = 160,150.50/x
  3. Step 3: Cross multiply
    287,466.84x = 396,704.16 × 160,150.50
  4. Step 4: Simplify right side
    287,466.84x = 63,532,369,576.08
  5. Step 5: Solve for x
    x = 63,532,369,576.08/287,466.84
  6. Step 6: Final answer
    x = 221,007.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.