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Finding the Fourth Proportional to 285,055.21, 427,730.37 and 206,815.24

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Solution

The fourth proportional to 285,055.21, 427,730.37 and 206,815.24 is: 310,329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,055.21 : 427,730.37 = 206,815.24 : x
  2. Step 2: Convert to fraction form
    285,055.21/427,730.37 = 206,815.24/x
  3. Step 3: Cross multiply
    285,055.21x = 427,730.37 × 206,815.24
  4. Step 4: Simplify right side
    285,055.21x = 88,461,159,126.84
  5. Step 5: Solve for x
    x = 88,461,159,126.84/285,055.21
  6. Step 6: Final answer
    x = 310,329.92

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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.