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Finding the Fourth Proportional to 209,418.98, 314,009.46 and 142,939.58

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Solution

The fourth proportional to 209,418.98, 314,009.46 and 142,939.58 is: 214,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,418.98 : 314,009.46 = 142,939.58 : x
  2. Step 2: Convert to fraction form
    209,418.98/314,009.46 = 142,939.58/x
  3. Step 3: Cross multiply
    209,418.98x = 314,009.46 × 142,939.58
  4. Step 4: Simplify right side
    209,418.98x = 44,884,378,758.38
  5. Step 5: Solve for x
    x = 44,884,378,758.38/209,418.98
  6. Step 6: Final answer
    x = 214,328.14

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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.