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Finding the Fourth Proportional to 1,297,197.51, 1,946,992.41 and 657,949.95

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Solution

The fourth proportional to 1,297,197.51, 1,946,992.41 and 657,949.95 is: 987,531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,197.51 : 1,946,992.41 = 657,949.95 : x
  2. Step 2: Convert to fraction form
    1,297,197.51/1,946,992.41 = 657,949.95/x
  3. Step 3: Cross multiply
    1,297,197.51x = 1,946,992.41 × 657,949.95
  4. Step 4: Simplify right side
    1,297,197.51x = 1,281,023,558,809.88
  5. Step 5: Solve for x
    x = 1,281,023,558,809.88/1,297,197.51
  6. Step 6: Final answer
    x = 987,531.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.