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Finding the Fourth Proportional to 284,990.64, 426,591.72 and 190,034.16

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Solution

The fourth proportional to 284,990.64, 426,591.72 and 190,034.16 is: 284,454.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,990.64 : 426,591.72 = 190,034.16 : x
  2. Step 2: Convert to fraction form
    284,990.64/426,591.72 = 190,034.16/x
  3. Step 3: Cross multiply
    284,990.64x = 426,591.72 × 190,034.16
  4. Step 4: Simplify right side
    284,990.64x = 81,066,999,173.16
  5. Step 5: Solve for x
    x = 81,066,999,173.16/284,990.64
  6. Step 6: Final answer
    x = 284,454.95

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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.