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Finding the Fourth Proportional to 359,890.64, 496,646.16 and 198,756.56

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Solution

The fourth proportional to 359,890.64, 496,646.16 and 198,756.56 is: 274,282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,890.64 : 496,646.16 = 198,756.56 : x
  2. Step 2: Convert to fraction form
    359,890.64/496,646.16 = 198,756.56/x
  3. Step 3: Cross multiply
    359,890.64x = 496,646.16 × 198,756.56
  4. Step 4: Simplify right side
    359,890.64x = 98,711,682,298.81
  5. Step 5: Solve for x
    x = 98,711,682,298.81/359,890.64
  6. Step 6: Final answer
    x = 274,282.44

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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.