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Finding the Fourth Proportional to 509,383.92, 702,908.70 and 294,537.90

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Solution

The fourth proportional to 509,383.92, 702,908.70 and 294,537.90 is: 406,438.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,383.92 : 702,908.70 = 294,537.90 : x
  2. Step 2: Convert to fraction form
    509,383.92/702,908.70 = 294,537.90/x
  3. Step 3: Cross multiply
    509,383.92x = 702,908.70 × 294,537.90
  4. Step 4: Simplify right side
    509,383.92x = 207,033,252,389.73
  5. Step 5: Solve for x
    x = 207,033,252,389.73/509,383.92
  6. Step 6: Final answer
    x = 406,438.53

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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.