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Finding the Fourth Proportional to 380,328, 524,852.64 and 210,573.06

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Solution

The fourth proportional to 380,328, 524,852.64 and 210,573.06 is: 290,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,328 : 524,852.64 = 210,573.06 : x
  2. Step 2: Convert to fraction form
    380,328/524,852.64 = 210,573.06/x
  3. Step 3: Cross multiply
    380,328x = 524,852.64 × 210,573.06
  4. Step 4: Simplify right side
    380,328x = 110,519,826,453.88
  5. Step 5: Solve for x
    x = 110,519,826,453.88/380,328
  6. Step 6: Final answer
    x = 290,590.82

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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.