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Finding the Fourth Proportional to 464,399.78, 640,278.42 and 300,767.18

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Solution

The fourth proportional to 464,399.78, 640,278.42 and 300,767.18 is: 414,674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,399.78 : 640,278.42 = 300,767.18 : x
  2. Step 2: Convert to fraction form
    464,399.78/640,278.42 = 300,767.18/x
  3. Step 3: Cross multiply
    464,399.78x = 640,278.42 × 300,767.18
  4. Step 4: Simplify right side
    464,399.78x = 192,574,734,798.26
  5. Step 5: Solve for x
    x = 192,574,734,798.26/464,399.78
  6. Step 6: Final answer
    x = 414,674.47

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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.