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Finding the Fourth Proportional to 464,453.52, 640,352.46 and 300,820.98

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Solution

The fourth proportional to 464,453.52, 640,352.46 and 300,820.98 is: 414,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,453.52 : 640,352.46 = 300,820.98 : x
  2. Step 2: Convert to fraction form
    464,453.52/640,352.46 = 300,820.98/x
  3. Step 3: Cross multiply
    464,453.52x = 640,352.46 × 300,820.98
  4. Step 4: Simplify right side
    464,453.52x = 192,631,454,562.61
  5. Step 5: Solve for x
    x = 192,631,454,562.61/464,453.52
  6. Step 6: Final answer
    x = 414,748.62

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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.