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Finding the Fourth Proportional to 430,754.58, 645,703.79 and 205,852.41

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Solution

The fourth proportional to 430,754.58, 645,703.79 and 205,852.41 is: 308,574.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,754.58 : 645,703.79 = 205,852.41 : x
  2. Step 2: Convert to fraction form
    430,754.58/645,703.79 = 205,852.41/x
  3. Step 3: Cross multiply
    430,754.58x = 645,703.79 × 205,852.41
  4. Step 4: Simplify right side
    430,754.58x = 132,919,680,288.37
  5. Step 5: Solve for x
    x = 132,919,680,288.37/430,754.58
  6. Step 6: Final answer
    x = 308,574.04

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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.