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Finding the Fourth Proportional to 340,746.20, 511,119.30 and 338,413.40

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Solution

The fourth proportional to 340,746.20, 511,119.30 and 338,413.40 is: 507,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,746.20 : 511,119.30 = 338,413.40 : x
  2. Step 2: Convert to fraction form
    340,746.20/511,119.30 = 338,413.40/x
  3. Step 3: Cross multiply
    340,746.20x = 511,119.30 × 338,413.40
  4. Step 4: Simplify right side
    340,746.20x = 172,969,620,118.62
  5. Step 5: Solve for x
    x = 172,969,620,118.62/340,746.20
  6. Step 6: Final answer
    x = 507,620.10

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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.