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Finding the Fourth Proportional to 213,232.40, 319,643.80 and 165,821.20

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Solution

The fourth proportional to 213,232.40, 319,643.80 and 165,821.20 is: 248,572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,232.40 : 319,643.80 = 165,821.20 : x
  2. Step 2: Convert to fraction form
    213,232.40/319,643.80 = 165,821.20/x
  3. Step 3: Cross multiply
    213,232.40x = 319,643.80 × 165,821.20
  4. Step 4: Simplify right side
    213,232.40x = 53,003,718,488.56
  5. Step 5: Solve for x
    x = 53,003,718,488.56/213,232.40
  6. Step 6: Final answer
    x = 248,572.54

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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.