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Finding the Fourth Proportional to 285,146.92, 427,525.98 and 144,634.60

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Solution

The fourth proportional to 285,146.92, 427,525.98 and 144,634.60 is: 216,853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,146.92 : 427,525.98 = 144,634.60 : x
  2. Step 2: Convert to fraction form
    285,146.92/427,525.98 = 144,634.60/x
  3. Step 3: Cross multiply
    285,146.92x = 427,525.98 × 144,634.60
  4. Step 4: Simplify right side
    285,146.92x = 61,835,049,106.91
  5. Step 5: Solve for x
    x = 61,835,049,106.91/285,146.92
  6. Step 6: Final answer
    x = 216,853.29

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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.