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Finding the Fourth Proportional to 284,345.63, 392,524.68 and 187,606.42

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Solution

The fourth proportional to 284,345.63, 392,524.68 and 187,606.42 is: 258,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,345.63 : 392,524.68 = 187,606.42 : x
  2. Step 2: Convert to fraction form
    284,345.63/392,524.68 = 187,606.42/x
  3. Step 3: Cross multiply
    284,345.63x = 392,524.68 × 187,606.42
  4. Step 4: Simplify right side
    284,345.63x = 73,640,149,976.45
  5. Step 5: Solve for x
    x = 73,640,149,976.45/284,345.63
  6. Step 6: Final answer
    x = 258,981.12

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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.