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Finding the Fourth Proportional to 340,964.80, 511,762.32 and 172,603.28

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Solution

The fourth proportional to 340,964.80, 511,762.32 and 172,603.28 is: 259,064.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,964.80 : 511,762.32 = 172,603.28 : x
  2. Step 2: Convert to fraction form
    340,964.80/511,762.32 = 172,603.28/x
  3. Step 3: Cross multiply
    340,964.80x = 511,762.32 × 172,603.28
  4. Step 4: Simplify right side
    340,964.80x = 88,331,855,012.41
  5. Step 5: Solve for x
    x = 88,331,855,012.41/340,964.80
  6. Step 6: Final answer
    x = 259,064.44

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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.