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Finding the Fourth Proportional to 654,698.79, 982,219.10 and 205,433.91

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Solution

The fourth proportional to 654,698.79, 982,219.10 and 205,433.91 is: 308,204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,698.79 : 982,219.10 = 205,433.91 : x
  2. Step 2: Convert to fraction form
    654,698.79/982,219.10 = 205,433.91/x
  3. Step 3: Cross multiply
    654,698.79x = 982,219.10 × 205,433.91
  4. Step 4: Simplify right side
    654,698.79x = 201,781,109,162.51
  5. Step 5: Solve for x
    x = 201,781,109,162.51/654,698.79
  6. Step 6: Final answer
    x = 308,204.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.