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Finding the Fourth Proportional to 299,412.54, 448,779.78 and 99,685.98

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Solution

The fourth proportional to 299,412.54, 448,779.78 and 99,685.98 is: 149,416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,412.54 : 448,779.78 = 99,685.98 : x
  2. Step 2: Convert to fraction form
    299,412.54/448,779.78 = 99,685.98/x
  3. Step 3: Cross multiply
    299,412.54x = 448,779.78 × 99,685.98
  4. Step 4: Simplify right side
    299,412.54x = 44,737,052,173.48
  5. Step 5: Solve for x
    x = 44,737,052,173.48/299,412.54
  6. Step 6: Final answer
    x = 149,416.09

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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.