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Finding the Fourth Proportional to 270,879.29, 406,716.83 and 266,095.40

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Solution

The fourth proportional to 270,879.29, 406,716.83 and 266,095.40 is: 399,533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,879.29 : 406,716.83 = 266,095.40 : x
  2. Step 2: Convert to fraction form
    270,879.29/406,716.83 = 266,095.40/x
  3. Step 3: Cross multiply
    270,879.29x = 406,716.83 × 266,095.40
  4. Step 4: Simplify right side
    270,879.29x = 108,225,477,565.58
  5. Step 5: Solve for x
    x = 108,225,477,565.58/270,879.29
  6. Step 6: Final answer
    x = 399,533.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.