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Finding the Fourth Proportional to 310,201.84, 427,969.52 and 202,834.72

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Solution

The fourth proportional to 310,201.84, 427,969.52 and 202,834.72 is: 279,840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,201.84 : 427,969.52 = 202,834.72 : x
  2. Step 2: Convert to fraction form
    310,201.84/427,969.52 = 202,834.72/x
  3. Step 3: Cross multiply
    310,201.84x = 427,969.52 × 202,834.72
  4. Step 4: Simplify right side
    310,201.84x = 86,807,075,617.89
  5. Step 5: Solve for x
    x = 86,807,075,617.89/310,201.84
  6. Step 6: Final answer
    x = 279,840.63

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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.