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Finding the Fourth Proportional to 213,290.30, 319,813.34 and 171,248.01

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Solution

The fourth proportional to 213,290.30, 319,813.34 and 171,248.01 is: 256,773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,290.30 : 319,813.34 = 171,248.01 : x
  2. Step 2: Convert to fraction form
    213,290.30/319,813.34 = 171,248.01/x
  3. Step 3: Cross multiply
    213,290.30x = 319,813.34 × 171,248.01
  4. Step 4: Simplify right side
    213,290.30x = 54,767,397,190.21
  5. Step 5: Solve for x
    x = 54,767,397,190.21/213,290.30
  6. Step 6: Final answer
    x = 256,773.98

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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.