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Finding the Fourth Proportional to 1,296,837.40, 1,946,408.10 and 763,691.80

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Solution

The fourth proportional to 1,296,837.40, 1,946,408.10 and 763,691.80 is: 1,146,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,837.40 : 1,946,408.10 = 763,691.80 : x
  2. Step 2: Convert to fraction form
    1,296,837.40/1,946,408.10 = 763,691.80/x
  3. Step 3: Cross multiply
    1,296,837.40x = 1,946,408.10 × 763,691.80
  4. Step 4: Simplify right side
    1,296,837.40x = 1,486,455,905,423.58
  5. Step 5: Solve for x
    x = 1,486,455,905,423.58/1,296,837.40
  6. Step 6: Final answer
    x = 1,146,216.10

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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.