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Finding the Fourth Proportional to 284,830.56, 427,246.65 and 107,289.90

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Solution

The fourth proportional to 284,830.56, 427,246.65 and 107,289.90 is: 160,935.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,830.56 : 427,246.65 = 107,289.90 : x
  2. Step 2: Convert to fraction form
    284,830.56/427,246.65 = 107,289.90/x
  3. Step 3: Cross multiply
    284,830.56x = 427,246.65 × 107,289.90
  4. Step 4: Simplify right side
    284,830.56x = 45,839,250,353.84
  5. Step 5: Solve for x
    x = 45,839,250,353.84/284,830.56
  6. Step 6: Final answer
    x = 160,935.16

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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.