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Finding the Fourth Proportional to 513,537.42, 708,668.43 and 284,103.34

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Solution

The fourth proportional to 513,537.42, 708,668.43 and 284,103.34 is: 392,055.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,537.42 : 708,668.43 = 284,103.34 : x
  2. Step 2: Convert to fraction form
    513,537.42/708,668.43 = 284,103.34/x
  3. Step 3: Cross multiply
    513,537.42x = 708,668.43 × 284,103.34
  4. Step 4: Simplify right side
    513,537.42x = 201,335,067,915.56
  5. Step 5: Solve for x
    x = 201,335,067,915.56/513,537.42
  6. Step 6: Final answer
    x = 392,055.30

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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.