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Finding the Fourth Proportional to 419,513.80, 579,143.64 and 284,262.52

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Solution

The fourth proportional to 419,513.80, 579,143.64 and 284,262.52 is: 392,427.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,513.80 : 579,143.64 = 284,262.52 : x
  2. Step 2: Convert to fraction form
    419,513.80/579,143.64 = 284,262.52/x
  3. Step 3: Cross multiply
    419,513.80x = 579,143.64 × 284,262.52
  4. Step 4: Simplify right side
    419,513.80x = 164,628,830,548.37
  5. Step 5: Solve for x
    x = 164,628,830,548.37/419,513.80
  6. Step 6: Final answer
    x = 392,427.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.