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Finding the Fourth Proportional to 370,809.56, 511,685.70 and 209,642.24

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Solution

The fourth proportional to 370,809.56, 511,685.70 and 209,642.24 is: 289,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,809.56 : 511,685.70 = 209,642.24 : x
  2. Step 2: Convert to fraction form
    370,809.56/511,685.70 = 209,642.24/x
  3. Step 3: Cross multiply
    370,809.56x = 511,685.70 × 209,642.24
  4. Step 4: Simplify right side
    370,809.56x = 107,270,936,323.97
  5. Step 5: Solve for x
    x = 107,270,936,323.97/370,809.56
  6. Step 6: Final answer
    x = 289,288.49

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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.