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Finding the Fourth Proportional to 509,300.49, 702,793.55 and 294,454.41

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Solution

The fourth proportional to 509,300.49, 702,793.55 and 294,454.41 is: 406,323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,300.49 : 702,793.55 = 294,454.41 : x
  2. Step 2: Convert to fraction form
    509,300.49/702,793.55 = 294,454.41/x
  3. Step 3: Cross multiply
    509,300.49x = 702,793.55 × 294,454.41
  4. Step 4: Simplify right side
    509,300.49x = 206,940,656,561.41
  5. Step 5: Solve for x
    x = 206,940,656,561.41/509,300.49
  6. Step 6: Final answer
    x = 406,323.30

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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.