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Finding the Fourth Proportional to 370,798.56, 511,670.52 and 209,631.24

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Solution

The fourth proportional to 370,798.56, 511,670.52 and 209,631.24 is: 289,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,798.56 : 511,670.52 = 209,631.24 : x
  2. Step 2: Convert to fraction form
    370,798.56/511,670.52 = 209,631.24/x
  3. Step 3: Cross multiply
    370,798.56x = 511,670.52 × 209,631.24
  4. Step 4: Simplify right side
    370,798.56x = 107,262,125,579.05
  5. Step 5: Solve for x
    x = 107,262,125,579.05/370,798.56
  6. Step 6: Final answer
    x = 289,273.31

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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.