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Finding the Fourth Proportional to 282,427.76, 389,753 and 155,106

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Solution

The fourth proportional to 282,427.76, 389,753 and 155,106 is: 214,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,427.76 : 389,753 = 155,106 : x
  2. Step 2: Convert to fraction form
    282,427.76/389,753 = 155,106/x
  3. Step 3: Cross multiply
    282,427.76x = 389,753 × 155,106
  4. Step 4: Simplify right side
    282,427.76x = 60,453,028,818
  5. Step 5: Solve for x
    x = 60,453,028,818/282,427.76
  6. Step 6: Final answer
    x = 214,047.76

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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.