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Finding the Fourth Proportional to 298,051.80, 446,688.90 and 120,413.40

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Solution

The fourth proportional to 298,051.80, 446,688.90 and 120,413.40 is: 180,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,051.80 : 446,688.90 = 120,413.40 : x
  2. Step 2: Convert to fraction form
    298,051.80/446,688.90 = 120,413.40/x
  3. Step 3: Cross multiply
    298,051.80x = 446,688.90 × 120,413.40
  4. Step 4: Simplify right side
    298,051.80x = 53,787,329,191.26
  5. Step 5: Solve for x
    x = 53,787,329,191.26/298,051.80
  6. Step 6: Final answer
    x = 180,463.02

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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.