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Finding the Fourth Proportional to 509,391.86, 702,932.17 and 305,340.66

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Solution

The fourth proportional to 509,391.86, 702,932.17 and 305,340.66 is: 421,352.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,391.86 : 702,932.17 = 305,340.66 : x
  2. Step 2: Convert to fraction form
    509,391.86/702,932.17 = 305,340.66/x
  3. Step 3: Cross multiply
    509,391.86x = 702,932.17 × 305,340.66
  4. Step 4: Simplify right side
    509,391.86x = 214,633,771,673.42
  5. Step 5: Solve for x
    x = 214,633,771,673.42/509,391.86
  6. Step 6: Final answer
    x = 421,352.97

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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.