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Finding the Fourth Proportional to 284,490.90, 392,605.36 and 157,174.70

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Solution

The fourth proportional to 284,490.90, 392,605.36 and 157,174.70 is: 216,905.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,490.90 : 392,605.36 = 157,174.70 : x
  2. Step 2: Convert to fraction form
    284,490.90/392,605.36 = 157,174.70/x
  3. Step 3: Cross multiply
    284,490.90x = 392,605.36 × 157,174.70
  4. Step 4: Simplify right side
    284,490.90x = 61,707,629,676.39
  5. Step 5: Solve for x
    x = 61,707,629,676.39/284,490.90
  6. Step 6: Final answer
    x = 216,905.46

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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.