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Finding the Fourth Proportional to 284,616.84, 392,796.12 and 157,317.24

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Solution

The fourth proportional to 284,616.84, 392,796.12 and 157,317.24 is: 217,111.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,616.84 : 392,796.12 = 157,317.24 : x
  2. Step 2: Convert to fraction form
    284,616.84/392,796.12 = 157,317.24/x
  3. Step 3: Cross multiply
    284,616.84x = 392,796.12 × 157,317.24
  4. Step 4: Simplify right side
    284,616.84x = 61,793,601,481.11
  5. Step 5: Solve for x
    x = 61,793,601,481.11/284,616.84
  6. Step 6: Final answer
    x = 217,111.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.