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Finding the Fourth Proportional to 314,879.91, 434,594.93 and 218,345.73

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Solution

The fourth proportional to 314,879.91, 434,594.93 and 218,345.73 is: 301,359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,879.91 : 434,594.93 = 218,345.73 : x
  2. Step 2: Convert to fraction form
    314,879.91/434,594.93 = 218,345.73/x
  3. Step 3: Cross multiply
    314,879.91x = 434,594.93 × 218,345.73
  4. Step 4: Simplify right side
    314,879.91x = 94,891,947,245.15
  5. Step 5: Solve for x
    x = 94,891,947,245.15/314,879.91
  6. Step 6: Final answer
    x = 301,359.17

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1.5x scale

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.