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Finding the Fourth Proportional to 282,443.13, 389,770.01 and 153,380.48

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Solution

The fourth proportional to 282,443.13, 389,770.01 and 153,380.48 is: 211,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,443.13 : 389,770.01 = 153,380.48 : x
  2. Step 2: Convert to fraction form
    282,443.13/389,770.01 = 153,380.48/x
  3. Step 3: Cross multiply
    282,443.13x = 389,770.01 × 153,380.48
  4. Step 4: Simplify right side
    282,443.13x = 59,783,109,658.01
  5. Step 5: Solve for x
    x = 59,783,109,658.01/282,443.13
  6. Step 6: Final answer
    x = 211,664.24

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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.