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Finding the Fourth Proportional to 478,431.50, 717,647.26 and 197,956.04

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Solution

The fourth proportional to 478,431.50, 717,647.26 and 197,956.04 is: 296,934.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,431.50 : 717,647.26 = 197,956.04 : x
  2. Step 2: Convert to fraction form
    478,431.50/717,647.26 = 197,956.04/x
  3. Step 3: Cross multiply
    478,431.50x = 717,647.26 × 197,956.04
  4. Step 4: Simplify right side
    478,431.50x = 142,062,609,706.45
  5. Step 5: Solve for x
    x = 142,062,609,706.45/478,431.50
  6. Step 6: Final answer
    x = 296,934.06

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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.