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Finding the Fourth Proportional to 510,438.66, 704,393.37 and 284,079.30

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Solution

The fourth proportional to 510,438.66, 704,393.37 and 284,079.30 is: 392,022.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,438.66 : 704,393.37 = 284,079.30 : x
  2. Step 2: Convert to fraction form
    510,438.66/704,393.37 = 284,079.30/x
  3. Step 3: Cross multiply
    510,438.66x = 704,393.37 × 284,079.30
  4. Step 4: Simplify right side
    510,438.66x = 200,103,575,474.24
  5. Step 5: Solve for x
    x = 200,103,575,474.24/510,438.66
  6. Step 6: Final answer
    x = 392,022.77

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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.