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Finding the Fourth Proportional to 652,089, 978,220.98 and 278,199.48

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Solution

The fourth proportional to 652,089, 978,220.98 and 278,199.48 is: 417,336.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,089 : 978,220.98 = 278,199.48 : x
  2. Step 2: Convert to fraction form
    652,089/978,220.98 = 278,199.48/x
  3. Step 3: Cross multiply
    652,089x = 978,220.98 × 278,199.48
  4. Step 4: Simplify right side
    652,089x = 272,140,567,961.09
  5. Step 5: Solve for x
    x = 272,140,567,961.09/652,089
  6. Step 6: Final answer
    x = 417,336.54

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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.