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Finding the Fourth Proportional to 436,413.40, 654,911.70 and 199,634.20

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Solution

The fourth proportional to 436,413.40, 654,911.70 and 199,634.20 is: 299,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,413.40 : 654,911.70 = 199,634.20 : x
  2. Step 2: Convert to fraction form
    436,413.40/654,911.70 = 199,634.20/x
  3. Step 3: Cross multiply
    436,413.40x = 654,911.70 × 199,634.20
  4. Step 4: Simplify right side
    436,413.40x = 130,742,773,300.14
  5. Step 5: Solve for x
    x = 130,742,773,300.14/436,413.40
  6. Step 6: Final answer
    x = 299,584.69

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1.5x scale

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.