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Finding the Fourth Proportional to 455,857.48, 683,578.32 and 189,459.28

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Solution

The fourth proportional to 455,857.48, 683,578.32 and 189,459.28 is: 284,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,857.48 : 683,578.32 = 189,459.28 : x
  2. Step 2: Convert to fraction form
    455,857.48/683,578.32 = 189,459.28/x
  3. Step 3: Cross multiply
    455,857.48x = 683,578.32 × 189,459.28
  4. Step 4: Simplify right side
    455,857.48x = 129,510,256,330.81
  5. Step 5: Solve for x
    x = 129,510,256,330.81/455,857.48
  6. Step 6: Final answer
    x = 284,102.51

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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.