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Finding the Fourth Proportional to 285,029.40, 427,544.10 and 74,688.60

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Solution

The fourth proportional to 285,029.40, 427,544.10 and 74,688.60 is: 112,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,029.40 : 427,544.10 = 74,688.60 : x
  2. Step 2: Convert to fraction form
    285,029.40/427,544.10 = 74,688.60/x
  3. Step 3: Cross multiply
    285,029.40x = 427,544.10 × 74,688.60
  4. Step 4: Simplify right side
    285,029.40x = 31,932,670,267.26
  5. Step 5: Solve for x
    x = 31,932,670,267.26/285,029.40
  6. Step 6: Final answer
    x = 112,032.90

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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.