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Finding the Fourth Proportional to 370,680.66, 511,533.74 and 209,530.02

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Solution

The fourth proportional to 370,680.66, 511,533.74 and 209,530.02 is: 289,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,680.66 : 511,533.74 = 209,530.02 : x
  2. Step 2: Convert to fraction form
    370,680.66/511,533.74 = 209,530.02/x
  3. Step 3: Cross multiply
    370,680.66x = 511,533.74 × 209,530.02
  4. Step 4: Simplify right side
    370,680.66x = 107,181,674,772.88
  5. Step 5: Solve for x
    x = 107,181,674,772.88/370,680.66
  6. Step 6: Final answer
    x = 289,148.28

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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.