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Finding the Fourth Proportional to 284,369.60, 392,249.83 and 216,237.20

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Solution

The fourth proportional to 284,369.60, 392,249.83 and 216,237.20 is: 298,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,369.60 : 392,249.83 = 216,237.20 : x
  2. Step 2: Convert to fraction form
    284,369.60/392,249.83 = 216,237.20/x
  3. Step 3: Cross multiply
    284,369.60x = 392,249.83 × 216,237.20
  4. Step 4: Simplify right side
    284,369.60x = 84,819,004,939.68
  5. Step 5: Solve for x
    x = 84,819,004,939.68/284,369.60
  6. Step 6: Final answer
    x = 298,270.30

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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.