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Finding the Fourth Proportional to 464,399.53, 640,278.07 and 300,766.93

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Solution

The fourth proportional to 464,399.53, 640,278.07 and 300,766.93 is: 414,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,399.53 : 640,278.07 = 300,766.93 : x
  2. Step 2: Convert to fraction form
    464,399.53/640,278.07 = 300,766.93/x
  3. Step 3: Cross multiply
    464,399.53x = 640,278.07 × 300,766.93
  4. Step 4: Simplify right side
    464,399.53x = 192,574,469,460.23
  5. Step 5: Solve for x
    x = 192,574,469,460.23/464,399.53
  6. Step 6: Final answer
    x = 414,674.13

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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.