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Finding the Fourth Proportional to 589,408, 884,112 and 215,431

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Solution

The fourth proportional to 589,408, 884,112 and 215,431 is: 323,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,408 : 884,112 = 215,431 : x
  2. Step 2: Convert to fraction form
    589,408/884,112 = 215,431/x
  3. Step 3: Cross multiply
    589,408x = 884,112 × 215,431
  4. Step 4: Simplify right side
    589,408x = 190,465,132,272
  5. Step 5: Solve for x
    x = 190,465,132,272/589,408
  6. Step 6: Final answer
    x = 323,146.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.