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Finding the Fourth Proportional to 201,889.40, 303,125.70 and 152,317.40

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Solution

The fourth proportional to 201,889.40, 303,125.70 and 152,317.40 is: 228,696.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,889.40 : 303,125.70 = 152,317.40 : x
  2. Step 2: Convert to fraction form
    201,889.40/303,125.70 = 152,317.40/x
  3. Step 3: Cross multiply
    201,889.40x = 303,125.70 × 152,317.40
  4. Step 4: Simplify right side
    201,889.40x = 46,171,318,497.18
  5. Step 5: Solve for x
    x = 46,171,318,497.18/201,889.40
  6. Step 6: Final answer
    x = 228,696.10

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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.