Home / 509,257.29-702,836.16-305,420.35

Finding the Fourth Proportional to 509,257.29, 702,836.16 and 305,420.35

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Solution

The fourth proportional to 509,257.29, 702,836.16 and 305,420.35 is: 421,516.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,257.29 : 702,836.16 = 305,420.35 : x
  2. Step 2: Convert to fraction form
    509,257.29/702,836.16 = 305,420.35/x
  3. Step 3: Cross multiply
    509,257.29x = 702,836.16 × 305,420.35
  4. Step 4: Simplify right side
    509,257.29x = 214,660,465,979.86
  5. Step 5: Solve for x
    x = 214,660,465,979.86/509,257.29
  6. Step 6: Final answer
    x = 421,516.73

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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.