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Finding the Fourth Proportional to 213,090.10, 319,635.15 and 209,590.90

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Solution

The fourth proportional to 213,090.10, 319,635.15 and 209,590.90 is: 314,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,090.10 : 319,635.15 = 209,590.90 : x
  2. Step 2: Convert to fraction form
    213,090.10/319,635.15 = 209,590.90/x
  3. Step 3: Cross multiply
    213,090.10x = 319,635.15 × 209,590.90
  4. Step 4: Simplify right side
    213,090.10x = 66,992,618,760.14
  5. Step 5: Solve for x
    x = 66,992,618,760.14/213,090.10
  6. Step 6: Final answer
    x = 314,386.35

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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.