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Finding the Fourth Proportional to 513,483.30, 708,552.41 and 284,004.14

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Solution

The fourth proportional to 513,483.30, 708,552.41 and 284,004.14 is: 391,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,483.30 : 708,552.41 = 284,004.14 : x
  2. Step 2: Convert to fraction form
    513,483.30/708,552.41 = 284,004.14/x
  3. Step 3: Cross multiply
    513,483.30x = 708,552.41 × 284,004.14
  4. Step 4: Simplify right side
    513,483.30x = 201,231,812,884.20
  5. Step 5: Solve for x
    x = 201,231,812,884.20/513,483.30
  6. Step 6: Final answer
    x = 391,895.54

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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.