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Finding the Fourth Proportional to 456,413.20, 684,619.80 and 231,808.30

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Solution

The fourth proportional to 456,413.20, 684,619.80 and 231,808.30 is: 347,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,413.20 : 684,619.80 = 231,808.30 : x
  2. Step 2: Convert to fraction form
    456,413.20/684,619.80 = 231,808.30/x
  3. Step 3: Cross multiply
    456,413.20x = 684,619.80 × 231,808.30
  4. Step 4: Simplify right side
    456,413.20x = 158,700,551,984.34
  5. Step 5: Solve for x
    x = 158,700,551,984.34/456,413.20
  6. Step 6: Final answer
    x = 347,712.45

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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.