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Finding the Fourth Proportional to 242,851.80, 364,277.70 and 211,747.80

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Solution

The fourth proportional to 242,851.80, 364,277.70 and 211,747.80 is: 317,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,851.80 : 364,277.70 = 211,747.80 : x
  2. Step 2: Convert to fraction form
    242,851.80/364,277.70 = 211,747.80/x
  3. Step 3: Cross multiply
    242,851.80x = 364,277.70 × 211,747.80
  4. Step 4: Simplify right side
    242,851.80x = 77,135,001,564.06
  5. Step 5: Solve for x
    x = 77,135,001,564.06/242,851.80
  6. Step 6: Final answer
    x = 317,621.70

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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.