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Finding the Fourth Proportional to 284,389.89, 392,455.64 and 157,062.75

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Solution

The fourth proportional to 284,389.89, 392,455.64 and 157,062.75 is: 216,745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,389.89 : 392,455.64 = 157,062.75 : x
  2. Step 2: Convert to fraction form
    284,389.89/392,455.64 = 157,062.75/x
  3. Step 3: Cross multiply
    284,389.89x = 392,455.64 × 157,062.75
  4. Step 4: Simplify right side
    284,389.89x = 61,640,162,464.07
  5. Step 5: Solve for x
    x = 61,640,162,464.07/284,389.89
  6. Step 6: Final answer
    x = 216,745.27

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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.