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Finding the Fourth Proportional to 382,956.35, 528,494.10 and 210,881.78

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Solution

The fourth proportional to 382,956.35, 528,494.10 and 210,881.78 is: 291,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,956.35 : 528,494.10 = 210,881.78 : x
  2. Step 2: Convert to fraction form
    382,956.35/528,494.10 = 210,881.78/x
  3. Step 3: Cross multiply
    382,956.35x = 528,494.10 × 210,881.78
  4. Step 4: Simplify right side
    382,956.35x = 111,449,773,885.03
  5. Step 5: Solve for x
    x = 111,449,773,885.03/382,956.35
  6. Step 6: Final answer
    x = 291,024.74

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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.