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Finding the Fourth Proportional to 652,048.40, 978,072.60 and 278,109.20

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Solution

The fourth proportional to 652,048.40, 978,072.60 and 278,109.20 is: 417,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,048.40 : 978,072.60 = 278,109.20 : x
  2. Step 2: Convert to fraction form
    652,048.40/978,072.60 = 278,109.20/x
  3. Step 3: Cross multiply
    652,048.40x = 978,072.60 × 278,109.20
  4. Step 4: Simplify right side
    652,048.40x = 272,010,988,327.92
  5. Step 5: Solve for x
    x = 272,010,988,327.92/652,048.40
  6. Step 6: Final answer
    x = 417,163.80

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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.