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Finding the Fourth Proportional to 284,358.78, 392,415.05 and 157,034.37

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Solution

The fourth proportional to 284,358.78, 392,415.05 and 157,034.37 is: 216,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,358.78 : 392,415.05 = 157,034.37 : x
  2. Step 2: Convert to fraction form
    284,358.78/392,415.05 = 157,034.37/x
  3. Step 3: Cross multiply
    284,358.78x = 392,415.05 × 157,034.37
  4. Step 4: Simplify right side
    284,358.78x = 61,622,647,408.02
  5. Step 5: Solve for x
    x = 61,622,647,408.02/284,358.78
  6. Step 6: Final answer
    x = 216,707.39

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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.