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Finding the Fourth Proportional to 383,413.40, 575,120.10 and 342,079.10

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Solution

The fourth proportional to 383,413.40, 575,120.10 and 342,079.10 is: 513,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,413.40 : 575,120.10 = 342,079.10 : x
  2. Step 2: Convert to fraction form
    383,413.40/575,120.10 = 342,079.10/x
  3. Step 3: Cross multiply
    383,413.40x = 575,120.10 × 342,079.10
  4. Step 4: Simplify right side
    383,413.40x = 196,736,566,199.91
  5. Step 5: Solve for x
    x = 196,736,566,199.91/383,413.40
  6. Step 6: Final answer
    x = 513,118.65

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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.