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Finding the Fourth Proportional to 202,302.40, 303,380.70 and 102,429.40

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Solution

The fourth proportional to 202,302.40, 303,380.70 and 102,429.40 is: 153,607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,302.40 : 303,380.70 = 102,429.40 : x
  2. Step 2: Convert to fraction form
    202,302.40/303,380.70 = 102,429.40/x
  3. Step 3: Cross multiply
    202,302.40x = 303,380.70 × 102,429.40
  4. Step 4: Simplify right side
    202,302.40x = 31,075,103,072.58
  5. Step 5: Solve for x
    x = 31,075,103,072.58/202,302.40
  6. Step 6: Final answer
    x = 153,607.19

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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.