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Finding the Fourth Proportional to 284,564.80, 426,868.80 and 84,869.60

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Solution

The fourth proportional to 284,564.80, 426,868.80 and 84,869.60 is: 127,310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,564.80 : 426,868.80 = 84,869.60 : x
  2. Step 2: Convert to fraction form
    284,564.80/426,868.80 = 84,869.60/x
  3. Step 3: Cross multiply
    284,564.80x = 426,868.80 × 84,869.60
  4. Step 4: Simplify right side
    284,564.80x = 36,228,184,308.48
  5. Step 5: Solve for x
    x = 36,228,184,308.48/284,564.80
  6. Step 6: Final answer
    x = 127,310.84

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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.