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Finding the Fourth Proportional to 285,038.87, 427,569.24 and 127,268.69

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Solution

The fourth proportional to 285,038.87, 427,569.24 and 127,268.69 is: 190,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,038.87 : 427,569.24 = 127,268.69 : x
  2. Step 2: Convert to fraction form
    285,038.87/427,569.24 = 127,268.69/x
  3. Step 3: Cross multiply
    285,038.87x = 427,569.24 × 127,268.69
  4. Step 4: Simplify right side
    285,038.87x = 54,416,175,512.91
  5. Step 5: Solve for x
    x = 54,416,175,512.91/285,038.87
  6. Step 6: Final answer
    x = 190,907.91

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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.