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Finding the Fourth Proportional to 403,987, 605,980.52 and 154,669

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Solution

The fourth proportional to 403,987, 605,980.52 and 154,669 is: 232,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,987 : 605,980.52 = 154,669 : x
  2. Step 2: Convert to fraction form
    403,987/605,980.52 = 154,669/x
  3. Step 3: Cross multiply
    403,987x = 605,980.52 × 154,669
  4. Step 4: Simplify right side
    403,987x = 93,726,401,047.88
  5. Step 5: Solve for x
    x = 93,726,401,047.88/403,987
  6. Step 6: Final answer
    x = 232,003.51

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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.