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Finding the Fourth Proportional to 493,887.65, 681,426.70 and 310,146.04

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Solution

The fourth proportional to 493,887.65, 681,426.70 and 310,146.04 is: 427,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,887.65 : 681,426.70 = 310,146.04 : x
  2. Step 2: Convert to fraction form
    493,887.65/681,426.70 = 310,146.04/x
  3. Step 3: Cross multiply
    493,887.65x = 681,426.70 × 310,146.04
  4. Step 4: Simplify right side
    493,887.65x = 211,341,792,555.27
  5. Step 5: Solve for x
    x = 211,341,792,555.27/493,887.65
  6. Step 6: Final answer
    x = 427,914.71

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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.