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Finding the Fourth Proportional to 310,208.10, 427,978.14 and 202,840.98

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Solution

The fourth proportional to 310,208.10, 427,978.14 and 202,840.98 is: 279,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,208.10 : 427,978.14 = 202,840.98 : x
  2. Step 2: Convert to fraction form
    310,208.10/427,978.14 = 202,840.98/x
  3. Step 3: Cross multiply
    310,208.10x = 427,978.14 × 202,840.98
  4. Step 4: Simplify right side
    310,208.10x = 86,811,505,336.18
  5. Step 5: Solve for x
    x = 86,811,505,336.18/310,208.10
  6. Step 6: Final answer
    x = 279,849.25

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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.