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Finding the Fourth Proportional to 370,674.51, 511,525.29 and 209,523.90

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Solution

The fourth proportional to 370,674.51, 511,525.29 and 209,523.90 is: 289,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,674.51 : 511,525.29 = 209,523.90 : x
  2. Step 2: Convert to fraction form
    370,674.51/511,525.29 = 209,523.90/x
  3. Step 3: Cross multiply
    370,674.51x = 511,525.29 × 209,523.90
  4. Step 4: Simplify right side
    370,674.51x = 107,176,773,709.43
  5. Step 5: Solve for x
    x = 107,176,773,709.43/370,674.51
  6. Step 6: Final answer
    x = 289,139.85

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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.