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Finding the Fourth Proportional to 253,830.58, 380,570.91 and 120,598.54

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Solution

The fourth proportional to 253,830.58, 380,570.91 and 120,598.54 is: 180,814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,830.58 : 380,570.91 = 120,598.54 : x
  2. Step 2: Convert to fraction form
    253,830.58/380,570.91 = 120,598.54/x
  3. Step 3: Cross multiply
    253,830.58x = 380,570.91 × 120,598.54
  4. Step 4: Simplify right side
    253,830.58x = 45,896,296,112.47
  5. Step 5: Solve for x
    x = 45,896,296,112.47/253,830.58
  6. Step 6: Final answer
    x = 180,814.68

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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.