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Finding the Fourth Proportional to 318,406.86, 439,218.99 and 198,967.50

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Solution

The fourth proportional to 318,406.86, 439,218.99 and 198,967.50 is: 274,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,406.86 : 439,218.99 = 198,967.50 : x
  2. Step 2: Convert to fraction form
    318,406.86/439,218.99 = 198,967.50/x
  3. Step 3: Cross multiply
    318,406.86x = 439,218.99 × 198,967.50
  4. Step 4: Simplify right side
    318,406.86x = 87,390,304,392.83
  5. Step 5: Solve for x
    x = 87,390,304,392.83/318,406.86
  6. Step 6: Final answer
    x = 274,461.12

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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.