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Finding the Fourth Proportional to 257,331.44, 385,984.80 and 70,343.36

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Solution

The fourth proportional to 257,331.44, 385,984.80 and 70,343.36 is: 105,511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,331.44 : 385,984.80 = 70,343.36 : x
  2. Step 2: Convert to fraction form
    257,331.44/385,984.80 = 70,343.36/x
  3. Step 3: Cross multiply
    257,331.44x = 385,984.80 × 70,343.36
  4. Step 4: Simplify right side
    257,331.44x = 27,151,467,740.93
  5. Step 5: Solve for x
    x = 27,151,467,740.93/257,331.44
  6. Step 6: Final answer
    x = 105,511.66

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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.