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Finding the Fourth Proportional to 513,772.55, 709,007.46 and 284,345.65

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Solution

The fourth proportional to 513,772.55, 709,007.46 and 284,345.65 is: 392,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,772.55 : 709,007.46 = 284,345.65 : x
  2. Step 2: Convert to fraction form
    513,772.55/709,007.46 = 284,345.65/x
  3. Step 3: Cross multiply
    513,772.55x = 709,007.46 × 284,345.65
  4. Step 4: Simplify right side
    513,772.55x = 201,603,188,885.21
  5. Step 5: Solve for x
    x = 201,603,188,885.21/513,772.55
  6. Step 6: Final answer
    x = 392,397.75

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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.