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Finding the Fourth Proportional to 383,678.01, 529,488.23 and 211,603.50

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Solution

The fourth proportional to 383,678.01, 529,488.23 and 211,603.50 is: 292,019.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,678.01 : 529,488.23 = 211,603.50 : x
  2. Step 2: Convert to fraction form
    383,678.01/529,488.23 = 211,603.50/x
  3. Step 3: Cross multiply
    383,678.01x = 529,488.23 × 211,603.50
  4. Step 4: Simplify right side
    383,678.01x = 112,041,561,618.79
  5. Step 5: Solve for x
    x = 112,041,561,618.79/383,678.01
  6. Step 6: Final answer
    x = 292,019.76

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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.