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Finding the Fourth Proportional to 284,339.56, 392,123.82 and 188,753.08

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Solution

The fourth proportional to 284,339.56, 392,123.82 and 188,753.08 is: 260,303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,339.56 : 392,123.82 = 188,753.08 : x
  2. Step 2: Convert to fraction form
    284,339.56/392,123.82 = 188,753.08/x
  3. Step 3: Cross multiply
    284,339.56x = 392,123.82 × 188,753.08
  4. Step 4: Simplify right side
    284,339.56x = 74,014,578,766.37
  5. Step 5: Solve for x
    x = 74,014,578,766.37/284,339.56
  6. Step 6: Final answer
    x = 260,303.49

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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.