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Finding the Fourth Proportional to 496,447.50, 685,068.57 and 278,635.93

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Solution

The fourth proportional to 496,447.50, 685,068.57 and 278,635.93 is: 384,501.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,447.50 : 685,068.57 = 278,635.93 : x
  2. Step 2: Convert to fraction form
    496,447.50/685,068.57 = 278,635.93/x
  3. Step 3: Cross multiply
    496,447.50x = 685,068.57 × 278,635.93
  4. Step 4: Simplify right side
    496,447.50x = 190,884,718,115.72
  5. Step 5: Solve for x
    x = 190,884,718,115.72/496,447.50
  6. Step 6: Final answer
    x = 384,501.32

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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.