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Finding the Fourth Proportional to 280,483.44, 420,413.51 and 213,703.40

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Solution

The fourth proportional to 280,483.44, 420,413.51 and 213,703.40 is: 320,317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,483.44 : 420,413.51 = 213,703.40 : x
  2. Step 2: Convert to fraction form
    280,483.44/420,413.51 = 213,703.40/x
  3. Step 3: Cross multiply
    280,483.44x = 420,413.51 × 213,703.40
  4. Step 4: Simplify right side
    280,483.44x = 89,843,793,322.35
  5. Step 5: Solve for x
    x = 89,843,793,322.35/280,483.44
  6. Step 6: Final answer
    x = 320,317.64

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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.