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Finding the Fourth Proportional to 284,639.30, 426,827.70 and 84,907.88

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Solution

The fourth proportional to 284,639.30, 426,827.70 and 84,907.88 is: 127,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,639.30 : 426,827.70 = 84,907.88 : x
  2. Step 2: Convert to fraction form
    284,639.30/426,827.70 = 84,907.88/x
  3. Step 3: Cross multiply
    284,639.30x = 426,827.70 × 84,907.88
  4. Step 4: Simplify right side
    284,639.30x = 36,241,035,132.28
  5. Step 5: Solve for x
    x = 36,241,035,132.28/284,639.30
  6. Step 6: Final answer
    x = 127,322.67

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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.