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Finding the Fourth Proportional to 287,182.51, 430,741 and 76,836.67

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Solution

The fourth proportional to 287,182.51, 430,741 and 76,836.67 is: 115,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,182.51 : 430,741 = 76,836.67 : x
  2. Step 2: Convert to fraction form
    287,182.51/430,741 = 76,836.67/x
  3. Step 3: Cross multiply
    287,182.51x = 430,741 × 76,836.67
  4. Step 4: Simplify right side
    287,182.51x = 33,096,704,072.47
  5. Step 5: Solve for x
    x = 33,096,704,072.47/287,182.51
  6. Step 6: Final answer
    x = 115,246.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.