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Finding the Fourth Proportional to 550,413.20, 825,619.80 and 340,461.20

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Solution

The fourth proportional to 550,413.20, 825,619.80 and 340,461.20 is: 510,691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,413.20 : 825,619.80 = 340,461.20 : x
  2. Step 2: Convert to fraction form
    550,413.20/825,619.80 = 340,461.20/x
  3. Step 3: Cross multiply
    550,413.20x = 825,619.80 × 340,461.20
  4. Step 4: Simplify right side
    550,413.20x = 281,091,507,851.76
  5. Step 5: Solve for x
    x = 281,091,507,851.76/550,413.20
  6. Step 6: Final answer
    x = 510,691.80

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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.