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Finding the Fourth Proportional to 647,704.76, 893,844.06 and 361,194.08

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Solution

The fourth proportional to 647,704.76, 893,844.06 and 361,194.08 is: 498,454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,704.76 : 893,844.06 = 361,194.08 : x
  2. Step 2: Convert to fraction form
    647,704.76/893,844.06 = 361,194.08/x
  3. Step 3: Cross multiply
    647,704.76x = 893,844.06 × 361,194.08
  4. Step 4: Simplify right side
    647,704.76x = 322,851,182,915.17
  5. Step 5: Solve for x
    x = 322,851,182,915.17/647,704.76
  6. Step 6: Final answer
    x = 498,454.24

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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.