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Finding the Fourth Proportional to 370,950, 511,538.40 and 329,986.68

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Solution

The fourth proportional to 370,950, 511,538.40 and 329,986.68 is: 455,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,950 : 511,538.40 = 329,986.68 : x
  2. Step 2: Convert to fraction form
    370,950/511,538.40 = 329,986.68/x
  3. Step 3: Cross multiply
    370,950x = 511,538.40 × 329,986.68
  4. Step 4: Simplify right side
    370,950x = 168,800,858,308.51
  5. Step 5: Solve for x
    x = 168,800,858,308.51/370,950
  6. Step 6: Final answer
    x = 455,050.16

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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.