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Finding the Fourth Proportional to 282,483, 389,826.90 and 155,161.08

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Solution

The fourth proportional to 282,483, 389,826.90 and 155,161.08 is: 214,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,483 : 389,826.90 = 155,161.08 : x
  2. Step 2: Convert to fraction form
    282,483/389,826.90 = 155,161.08/x
  3. Step 3: Cross multiply
    282,483x = 389,826.90 × 155,161.08
  4. Step 4: Simplify right side
    282,483x = 60,485,962,817.05
  5. Step 5: Solve for x
    x = 60,485,962,817.05/282,483
  6. Step 6: Final answer
    x = 214,122.49

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1.5x scale

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.