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Finding the Fourth Proportional to 517,299.90, 713,867 and 290,945.40

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Solution

The fourth proportional to 517,299.90, 713,867 and 290,945.40 is: 401,500.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,299.90 : 713,867 = 290,945.40 : x
  2. Step 2: Convert to fraction form
    517,299.90/713,867 = 290,945.40/x
  3. Step 3: Cross multiply
    517,299.90x = 713,867 × 290,945.40
  4. Step 4: Simplify right side
    517,299.90x = 207,696,319,861.80
  5. Step 5: Solve for x
    x = 207,696,319,861.80/517,299.90
  6. Step 6: Final answer
    x = 401,500.79

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1.5x scale

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.