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Finding the Fourth Proportional to 282,415.71, 389,736.41 and 155,094.02

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Solution

The fourth proportional to 282,415.71, 389,736.41 and 155,094.02 is: 214,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,415.71 : 389,736.41 = 155,094.02 : x
  2. Step 2: Convert to fraction form
    282,415.71/389,736.41 = 155,094.02/x
  3. Step 3: Cross multiply
    282,415.71x = 389,736.41 × 155,094.02
  4. Step 4: Simplify right side
    282,415.71x = 60,445,783,843.12
  5. Step 5: Solve for x
    x = 60,445,783,843.12/282,415.71
  6. Step 6: Final answer
    x = 214,031.24

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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.