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Finding the Fourth Proportional to 359,703.64, 496,391.12 and 198,558.80

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Solution

The fourth proportional to 359,703.64, 496,391.12 and 198,558.80 is: 274,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,703.64 : 496,391.12 = 198,558.80 : x
  2. Step 2: Convert to fraction form
    359,703.64/496,391.12 = 198,558.80/x
  3. Step 3: Cross multiply
    359,703.64x = 496,391.12 × 198,558.80
  4. Step 4: Simplify right side
    359,703.64x = 98,562,821,643.11
  5. Step 5: Solve for x
    x = 98,562,821,643.11/359,703.64
  6. Step 6: Final answer
    x = 274,011.19

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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.