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Finding the Fourth Proportional to 314,879.80, 434,496.18 and 178,864.60

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Solution

The fourth proportional to 314,879.80, 434,496.18 and 178,864.60 is: 246,811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,879.80 : 434,496.18 = 178,864.60 : x
  2. Step 2: Convert to fraction form
    314,879.80/434,496.18 = 178,864.60/x
  3. Step 3: Cross multiply
    314,879.80x = 434,496.18 × 178,864.60
  4. Step 4: Simplify right side
    314,879.80x = 77,715,985,437.23
  5. Step 5: Solve for x
    x = 77,715,985,437.23/314,879.80
  6. Step 6: Final answer
    x = 246,811.59

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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.