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Finding the Fourth Proportional to 652,071.28, 978,247.68 and 202,783.36

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Solution

The fourth proportional to 652,071.28, 978,247.68 and 202,783.36 is: 304,218.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,071.28 : 978,247.68 = 202,783.36 : x
  2. Step 2: Convert to fraction form
    652,071.28/978,247.68 = 202,783.36/x
  3. Step 3: Cross multiply
    652,071.28x = 978,247.68 × 202,783.36
  4. Step 4: Simplify right side
    652,071.28x = 198,372,351,462.61
  5. Step 5: Solve for x
    x = 198,372,351,462.61/652,071.28
  6. Step 6: Final answer
    x = 304,218.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.