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Finding the Fourth Proportional to 370,505.36, 511,290.73 and 209,356.94

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Solution

The fourth proportional to 370,505.36, 511,290.73 and 209,356.94 is: 288,908.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,505.36 : 511,290.73 = 209,356.94 : x
  2. Step 2: Convert to fraction form
    370,505.36/511,290.73 = 209,356.94/x
  3. Step 3: Cross multiply
    370,505.36x = 511,290.73 × 209,356.94
  4. Step 4: Simplify right side
    370,505.36x = 107,042,262,683.17
  5. Step 5: Solve for x
    x = 107,042,262,683.17/370,505.36
  6. Step 6: Final answer
    x = 288,908.81

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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.