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Finding the Fourth Proportional to 315,373.65, 435,355.61 and 213,546.93

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Solution

The fourth proportional to 315,373.65, 435,355.61 and 213,546.93 is: 294,789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,373.65 : 435,355.61 = 213,546.93 : x
  2. Step 2: Convert to fraction form
    315,373.65/435,355.61 = 213,546.93/x
  3. Step 3: Cross multiply
    315,373.65x = 435,355.61 × 213,546.93
  4. Step 4: Simplify right side
    315,373.65x = 92,968,852,906.04
  5. Step 5: Solve for x
    x = 92,968,852,906.04/315,373.65
  6. Step 6: Final answer
    x = 294,789.54

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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.