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Finding the Fourth Proportional to 282,410.70, 389,729.49 and 155,089.02

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Solution

The fourth proportional to 282,410.70, 389,729.49 and 155,089.02 is: 214,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,410.70 : 389,729.49 = 155,089.02 : x
  2. Step 2: Convert to fraction form
    282,410.70/389,729.49 = 155,089.02/x
  3. Step 3: Cross multiply
    282,410.70x = 389,729.49 × 155,089.02
  4. Step 4: Simplify right side
    282,410.70x = 60,442,764,669.20
  5. Step 5: Solve for x
    x = 60,442,764,669.20/282,410.70
  6. Step 6: Final answer
    x = 214,024.34

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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.