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Finding the Fourth Proportional to 299,089.76, 412,510.50 and 191,669.78

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Solution

The fourth proportional to 299,089.76, 412,510.50 and 191,669.78 is: 264,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,089.76 : 412,510.50 = 191,669.78 : x
  2. Step 2: Convert to fraction form
    299,089.76/412,510.50 = 191,669.78/x
  3. Step 3: Cross multiply
    299,089.76x = 412,510.50 × 191,669.78
  4. Step 4: Simplify right side
    299,089.76x = 79,065,796,782.69
  5. Step 5: Solve for x
    x = 79,065,796,782.69/299,089.76
  6. Step 6: Final answer
    x = 264,354.74

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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.