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Finding the Fourth Proportional to 380,413.98, 524,964.87 and 210,644.46

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Solution

The fourth proportional to 380,413.98, 524,964.87 and 210,644.46 is: 290,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,413.98 : 524,964.87 = 210,644.46 : x
  2. Step 2: Convert to fraction form
    380,413.98/524,964.87 = 210,644.46/x
  3. Step 3: Cross multiply
    380,413.98x = 524,964.87 × 210,644.46
  4. Step 4: Simplify right side
    380,413.98x = 110,580,941,560.12
  5. Step 5: Solve for x
    x = 110,580,941,560.12/380,413.98
  6. Step 6: Final answer
    x = 290,685.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.