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Finding the Fourth Proportional to 419,607.48, 579,272.76 and 284,356.08

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Solution

The fourth proportional to 419,607.48, 579,272.76 and 284,356.08 is: 392,556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,607.48 : 579,272.76 = 284,356.08 : x
  2. Step 2: Convert to fraction form
    419,607.48/579,272.76 = 284,356.08/x
  3. Step 3: Cross multiply
    419,607.48x = 579,272.76 × 284,356.08
  4. Step 4: Simplify right side
    419,607.48x = 164,719,731,284.38
  5. Step 5: Solve for x
    x = 164,719,731,284.38/419,607.48
  6. Step 6: Final answer
    x = 392,556.71

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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.