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Finding the Fourth Proportional to 465,307.63, 641,961 and 304,256.95

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Solution

The fourth proportional to 465,307.63, 641,961 and 304,256.95 is: 419,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,307.63 : 641,961 = 304,256.95 : x
  2. Step 2: Convert to fraction form
    465,307.63/641,961 = 304,256.95/x
  3. Step 3: Cross multiply
    465,307.63x = 641,961 × 304,256.95
  4. Step 4: Simplify right side
    465,307.63x = 195,321,095,878.95
  5. Step 5: Solve for x
    x = 195,321,095,878.95/465,307.63
  6. Step 6: Final answer
    x = 419,767.66

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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.