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Finding the Fourth Proportional to 359,931.72, 496,696.26 and 198,783.30

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Solution

The fourth proportional to 359,931.72, 496,696.26 and 198,783.30 is: 274,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,931.72 : 496,696.26 = 198,783.30 : x
  2. Step 2: Convert to fraction form
    359,931.72/496,696.26 = 198,783.30/x
  3. Step 3: Cross multiply
    359,931.72x = 496,696.26 × 198,783.30
  4. Step 4: Simplify right side
    359,931.72x = 98,734,921,660.46
  5. Step 5: Solve for x
    x = 98,734,921,660.46/359,931.72
  6. Step 6: Final answer
    x = 274,315.70

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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.