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Finding the Fourth Proportional to 359,779.42, 496,496.36 and 198,634.78

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Solution

The fourth proportional to 359,779.42, 496,496.36 and 198,634.78 is: 274,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,779.42 : 496,496.36 = 198,634.78 : x
  2. Step 2: Convert to fraction form
    359,779.42/496,496.36 = 198,634.78/x
  3. Step 3: Cross multiply
    359,779.42x = 496,496.36 × 198,634.78
  4. Step 4: Simplify right side
    359,779.42x = 98,621,445,239.40
  5. Step 5: Solve for x
    x = 98,621,445,239.40/359,779.42
  6. Step 6: Final answer
    x = 274,116.42

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1.5x scale

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.