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Finding the Fourth Proportional to 455,954.87, 683,946.25 and 156,431.25

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Solution

The fourth proportional to 455,954.87, 683,946.25 and 156,431.25 is: 234,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,954.87 : 683,946.25 = 156,431.25 : x
  2. Step 2: Convert to fraction form
    455,954.87/683,946.25 = 156,431.25/x
  3. Step 3: Cross multiply
    455,954.87x = 683,946.25 × 156,431.25
  4. Step 4: Simplify right side
    455,954.87x = 106,990,566,429.23
  5. Step 5: Solve for x
    x = 106,990,566,429.23/455,954.87
  6. Step 6: Final answer
    x = 234,651.66

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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.