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Finding the Fourth Proportional to 652,086, 978,216.48 and 278,196.48

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Solution

The fourth proportional to 652,086, 978,216.48 and 278,196.48 is: 417,332.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,086 : 978,216.48 = 278,196.48 : x
  2. Step 2: Convert to fraction form
    652,086/978,216.48 = 278,196.48/x
  3. Step 3: Cross multiply
    652,086x = 978,216.48 × 278,196.48
  4. Step 4: Simplify right side
    652,086x = 272,136,381,413.99
  5. Step 5: Solve for x
    x = 272,136,381,413.99/652,086
  6. Step 6: Final answer
    x = 417,332.04

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Why These Related Problems?

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