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Finding the Fourth Proportional to 370,458.96, 511,203 and 209,328

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Solution

The fourth proportional to 370,458.96, 511,203 and 209,328 is: 288,855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,458.96 : 511,203 = 209,328 : x
  2. Step 2: Convert to fraction form
    370,458.96/511,203 = 209,328/x
  3. Step 3: Cross multiply
    370,458.96x = 511,203 × 209,328
  4. Step 4: Simplify right side
    370,458.96x = 107,009,101,584
  5. Step 5: Solve for x
    x = 107,009,101,584/370,458.96
  6. Step 6: Final answer
    x = 288,855.48

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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.