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Finding the Fourth Proportional to 403,821.40, 605,732.10 and 377,577.40

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Solution

The fourth proportional to 403,821.40, 605,732.10 and 377,577.40 is: 566,366.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,821.40 : 605,732.10 = 377,577.40 : x
  2. Step 2: Convert to fraction form
    403,821.40/605,732.10 = 377,577.40/x
  3. Step 3: Cross multiply
    403,821.40x = 605,732.10 × 377,577.40
  4. Step 4: Simplify right side
    403,821.40x = 228,710,751,414.54
  5. Step 5: Solve for x
    x = 228,710,751,414.54/403,821.40
  6. Step 6: Final answer
    x = 566,366.10

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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.