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Finding the Fourth Proportional to 383,347.56, 529,023.26 and 211,271.82

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Solution

The fourth proportional to 383,347.56, 529,023.26 and 211,271.82 is: 291,557.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,347.56 : 529,023.26 = 211,271.82 : x
  2. Step 2: Convert to fraction form
    383,347.56/529,023.26 = 211,271.82/x
  3. Step 3: Cross multiply
    383,347.56x = 529,023.26 × 211,271.82
  4. Step 4: Simplify right side
    383,347.56x = 111,767,706,962.53
  5. Step 5: Solve for x
    x = 111,767,706,962.53/383,347.56
  6. Step 6: Final answer
    x = 291,557.11

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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.