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Finding the Fourth Proportional to 464,472, 640,976.74 and 257,744.63

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Solution

The fourth proportional to 464,472, 640,976.74 and 257,744.63 is: 355,690.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,472 : 640,976.74 = 257,744.63 : x
  2. Step 2: Convert to fraction form
    464,472/640,976.74 = 257,744.63/x
  3. Step 3: Cross multiply
    464,472x = 640,976.74 × 257,744.63
  4. Step 4: Simplify right side
    464,472x = 165,208,313,647.99
  5. Step 5: Solve for x
    x = 165,208,313,647.99/464,472
  6. Step 6: Final answer
    x = 355,690.58

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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.