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Finding the Fourth Proportional to 284,072.80, 426,109.20 and 106,585.60

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Solution

The fourth proportional to 284,072.80, 426,109.20 and 106,585.60 is: 159,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,072.80 : 426,109.20 = 106,585.60 : x
  2. Step 2: Convert to fraction form
    284,072.80/426,109.20 = 106,585.60/x
  3. Step 3: Cross multiply
    284,072.80x = 426,109.20 × 106,585.60
  4. Step 4: Simplify right side
    284,072.80x = 45,417,104,747.52
  5. Step 5: Solve for x
    x = 45,417,104,747.52/284,072.80
  6. Step 6: Final answer
    x = 159,878.40

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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.