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Finding the Fourth Proportional to 513,658.34, 708,834.85 and 284,209.64

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Solution

The fourth proportional to 513,658.34, 708,834.85 and 284,209.64 is: 392,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,658.34 : 708,834.85 = 284,209.64 : x
  2. Step 2: Convert to fraction form
    513,658.34/708,834.85 = 284,209.64/x
  3. Step 3: Cross multiply
    513,658.34x = 708,834.85 × 284,209.64
  4. Step 4: Simplify right side
    513,658.34x = 201,457,697,537.95
  5. Step 5: Solve for x
    x = 201,457,697,537.95/513,658.34
  6. Step 6: Final answer
    x = 392,201.75

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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.