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Finding the Fourth Proportional to 221,354.81, 331,780.54 and 194,648.47

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Solution

The fourth proportional to 221,354.81, 331,780.54 and 194,648.47 is: 291,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,354.81 : 331,780.54 = 194,648.47 : x
  2. Step 2: Convert to fraction form
    221,354.81/331,780.54 = 194,648.47/x
  3. Step 3: Cross multiply
    221,354.81x = 331,780.54 × 194,648.47
  4. Step 4: Simplify right side
    221,354.81x = 64,580,574,356.84
  5. Step 5: Solve for x
    x = 64,580,574,356.84/221,354.81
  6. Step 6: Final answer
    x = 291,751.39

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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.