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Finding the Fourth Proportional to 284,661.72, 427,066.68 and 84,982.20

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Solution

The fourth proportional to 284,661.72, 427,066.68 and 84,982.20 is: 127,495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,661.72 : 427,066.68 = 84,982.20 : x
  2. Step 2: Convert to fraction form
    284,661.72/427,066.68 = 84,982.20/x
  3. Step 3: Cross multiply
    284,661.72x = 427,066.68 × 84,982.20
  4. Step 4: Simplify right side
    284,661.72x = 36,293,066,013.10
  5. Step 5: Solve for x
    x = 36,293,066,013.10/284,661.72
  6. Step 6: Final answer
    x = 127,495.42

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1.5x scale

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.