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Finding the Fourth Proportional to 383,753.68, 529,583.52 and 211,678.32

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Solution

The fourth proportional to 383,753.68, 529,583.52 and 211,678.32 is: 292,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,753.68 : 529,583.52 = 211,678.32 : x
  2. Step 2: Convert to fraction form
    383,753.68/529,583.52 = 211,678.32/x
  3. Step 3: Cross multiply
    383,753.68x = 529,583.52 × 211,678.32
  4. Step 4: Simplify right side
    383,753.68x = 112,101,349,813.29
  5. Step 5: Solve for x
    x = 112,101,349,813.29/383,753.68
  6. Step 6: Final answer
    x = 292,117.98

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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.