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Finding the Fourth Proportional to 245,970.36, 338,724.42 and 213,690.24

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Solution

The fourth proportional to 245,970.36, 338,724.42 and 213,690.24 is: 294,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,970.36 : 338,724.42 = 213,690.24 : x
  2. Step 2: Convert to fraction form
    245,970.36/338,724.42 = 213,690.24/x
  3. Step 3: Cross multiply
    245,970.36x = 338,724.42 × 213,690.24
  4. Step 4: Simplify right side
    245,970.36x = 72,382,102,603.66
  5. Step 5: Solve for x
    x = 72,382,102,603.66/245,970.36
  6. Step 6: Final answer
    x = 294,271.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.