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Finding the Fourth Proportional to 652,783.68, 978,968.16 and 209,448

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Solution

The fourth proportional to 652,783.68, 978,968.16 and 209,448 is: 314,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,783.68 : 978,968.16 = 209,448 : x
  2. Step 2: Convert to fraction form
    652,783.68/978,968.16 = 209,448/x
  3. Step 3: Cross multiply
    652,783.68x = 978,968.16 × 209,448
  4. Step 4: Simplify right side
    652,783.68x = 205,042,923,175.68
  5. Step 5: Solve for x
    x = 205,042,923,175.68/652,783.68
  6. Step 6: Final answer
    x = 314,105.47

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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.