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Finding the Fourth Proportional to 201,886.40, 303,121.20 and 152,314.40

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Solution

The fourth proportional to 201,886.40, 303,121.20 and 152,314.40 is: 228,691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,886.40 : 303,121.20 = 152,314.40 : x
  2. Step 2: Convert to fraction form
    201,886.40/303,121.20 = 152,314.40/x
  3. Step 3: Cross multiply
    201,886.40x = 303,121.20 × 152,314.40
  4. Step 4: Simplify right side
    201,886.40x = 46,169,723,705.28
  5. Step 5: Solve for x
    x = 46,169,723,705.28/201,886.40
  6. Step 6: Final answer
    x = 228,691.60

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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.