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Finding the Fourth Proportional to 509,061.34, 702,420.36 and 294,221.41

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Solution

The fourth proportional to 509,061.34, 702,420.36 and 294,221.41 is: 405,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,061.34 : 702,420.36 = 294,221.41 : x
  2. Step 2: Convert to fraction form
    509,061.34/702,420.36 = 294,221.41/x
  3. Step 3: Cross multiply
    509,061.34x = 702,420.36 × 294,221.41
  4. Step 4: Simplify right side
    509,061.34x = 206,667,108,731.91
  5. Step 5: Solve for x
    x = 206,667,108,731.91/509,061.34
  6. Step 6: Final answer
    x = 405,976.83

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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.