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Finding the Fourth Proportional to 421,024, 631,847.04 and 199,408

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Solution

The fourth proportional to 421,024, 631,847.04 and 199,408 is: 299,259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,024 : 631,847.04 = 199,408 : x
  2. Step 2: Convert to fraction form
    421,024/631,847.04 = 199,408/x
  3. Step 3: Cross multiply
    421,024x = 631,847.04 × 199,408
  4. Step 4: Simplify right side
    421,024x = 125,995,354,552.32
  5. Step 5: Solve for x
    x = 125,995,354,552.32/421,024
  6. Step 6: Final answer
    x = 299,259.32

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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.