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Finding the Fourth Proportional to 510,428.81, 704,391.77 and 284,127.77

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Solution

The fourth proportional to 510,428.81, 704,391.77 and 284,127.77 is: 392,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,428.81 : 704,391.77 = 284,127.77 : x
  2. Step 2: Convert to fraction form
    510,428.81/704,391.77 = 284,127.77/x
  3. Step 3: Cross multiply
    510,428.81x = 704,391.77 × 284,127.77
  4. Step 4: Simplify right side
    510,428.81x = 200,137,265,287.75
  5. Step 5: Solve for x
    x = 200,137,265,287.75/510,428.81
  6. Step 6: Final answer
    x = 392,096.33

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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.