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Finding the Fourth Proportional to 202,859.60, 304,289.40 and 189,640.40

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Solution

The fourth proportional to 202,859.60, 304,289.40 and 189,640.40 is: 284,460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,859.60 : 304,289.40 = 189,640.40 : x
  2. Step 2: Convert to fraction form
    202,859.60/304,289.40 = 189,640.40/x
  3. Step 3: Cross multiply
    202,859.60x = 304,289.40 × 189,640.40
  4. Step 4: Simplify right side
    202,859.60x = 57,705,563,531.76
  5. Step 5: Solve for x
    x = 57,705,563,531.76/202,859.60
  6. Step 6: Final answer
    x = 284,460.60

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1.5x scale

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.