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Finding the Fourth Proportional to 370,642.88, 511,513.19 and 209,499.08

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Solution

The fourth proportional to 370,642.88, 511,513.19 and 209,499.08 is: 289,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,642.88 : 511,513.19 = 209,499.08 : x
  2. Step 2: Convert to fraction form
    370,642.88/511,513.19 = 209,499.08/x
  3. Step 3: Cross multiply
    370,642.88x = 511,513.19 × 209,499.08
  4. Step 4: Simplify right side
    370,642.88x = 107,161,539,107.80
  5. Step 5: Solve for x
    x = 107,161,539,107.80/370,642.88
  6. Step 6: Final answer
    x = 289,123.43

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1.5x scale

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.