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Finding the Fourth Proportional to 371,424, 512,584.56 and 218,470.08

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Solution

The fourth proportional to 371,424, 512,584.56 and 218,470.08 is: 301,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,424 : 512,584.56 = 218,470.08 : x
  2. Step 2: Convert to fraction form
    371,424/512,584.56 = 218,470.08/x
  3. Step 3: Cross multiply
    371,424x = 512,584.56 × 218,470.08
  4. Step 4: Simplify right side
    371,424x = 111,984,389,829.97
  5. Step 5: Solve for x
    x = 111,984,389,829.97/371,424
  6. Step 6: Final answer
    x = 301,500.14

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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.