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Finding the Fourth Proportional to 359,501.78, 496,115.10 and 198,362.81

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Solution

The fourth proportional to 359,501.78, 496,115.10 and 198,362.81 is: 273,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,501.78 : 496,115.10 = 198,362.81 : x
  2. Step 2: Convert to fraction form
    359,501.78/496,115.10 = 198,362.81/x
  3. Step 3: Cross multiply
    359,501.78x = 496,115.10 × 198,362.81
  4. Step 4: Simplify right side
    359,501.78x = 98,410,782,838.86
  5. Step 5: Solve for x
    x = 98,410,782,838.86/359,501.78
  6. Step 6: Final answer
    x = 273,742.13

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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.