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Finding the Fourth Proportional to 282,704.32, 390,134.40 and 155,382.88

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Solution

The fourth proportional to 282,704.32, 390,134.40 and 155,382.88 is: 214,429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,704.32 : 390,134.40 = 155,382.88 : x
  2. Step 2: Convert to fraction form
    282,704.32/390,134.40 = 155,382.88/x
  3. Step 3: Cross multiply
    282,704.32x = 390,134.40 × 155,382.88
  4. Step 4: Simplify right side
    282,704.32x = 60,620,206,659.07
  5. Step 5: Solve for x
    x = 60,620,206,659.07/282,704.32
  6. Step 6: Final answer
    x = 214,429.71

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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.