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Finding the Fourth Proportional to 304,897.44, 420,904.72 and 214,331.04

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Solution

The fourth proportional to 304,897.44, 420,904.72 and 214,331.04 is: 295,879.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,897.44 : 420,904.72 = 214,331.04 : x
  2. Step 2: Convert to fraction form
    304,897.44/420,904.72 = 214,331.04/x
  3. Step 3: Cross multiply
    304,897.44x = 420,904.72 × 214,331.04
  4. Step 4: Simplify right side
    304,897.44x = 90,212,946,378.51
  5. Step 5: Solve for x
    x = 90,212,946,378.51/304,897.44
  6. Step 6: Final answer
    x = 295,879.65

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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.