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Finding the Fourth Proportional to 370,809.80, 511,727.60 and 209,688.96

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Solution

The fourth proportional to 370,809.80, 511,727.60 and 209,688.96 is: 289,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,809.80 : 511,727.60 = 209,688.96 : x
  2. Step 2: Convert to fraction form
    370,809.80/511,727.60 = 209,688.96/x
  3. Step 3: Cross multiply
    370,809.80x = 511,727.60 × 209,688.96
  4. Step 4: Simplify right side
    370,809.80x = 107,303,628,247.30
  5. Step 5: Solve for x
    x = 107,303,628,247.30/370,809.80
  6. Step 6: Final answer
    x = 289,376.46

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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.