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Finding the Fourth Proportional to 284,070.64, 426,109.26 and 84,386.20

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Solution

The fourth proportional to 284,070.64, 426,109.26 and 84,386.20 is: 126,580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,070.64 : 426,109.26 = 84,386.20 : x
  2. Step 2: Convert to fraction form
    284,070.64/426,109.26 = 84,386.20/x
  3. Step 3: Cross multiply
    284,070.64x = 426,109.26 × 84,386.20
  4. Step 4: Simplify right side
    284,070.64x = 35,957,741,236.21
  5. Step 5: Solve for x
    x = 35,957,741,236.21/284,070.64
  6. Step 6: Final answer
    x = 126,580.28

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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.