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Finding the Fourth Proportional to 935,980, 1,404,116.16 and 304,745.20

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Solution

The fourth proportional to 935,980, 1,404,116.16 and 304,745.20 is: 457,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,980 : 1,404,116.16 = 304,745.20 : x
  2. Step 2: Convert to fraction form
    935,980/1,404,116.16 = 304,745.20/x
  3. Step 3: Cross multiply
    935,980x = 1,404,116.16 × 304,745.20
  4. Step 4: Simplify right side
    935,980x = 427,897,660,002.43
  5. Step 5: Solve for x
    x = 427,897,660,002.43/935,980
  6. Step 6: Final answer
    x = 457,165.39

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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.