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Finding the Fourth Proportional to 371,584.47, 512,698.71 and 218,629.32

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Solution

The fourth proportional to 371,584.47, 512,698.71 and 218,629.32 is: 301,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,584.47 : 512,698.71 = 218,629.32 : x
  2. Step 2: Convert to fraction form
    371,584.47/512,698.71 = 218,629.32/x
  3. Step 3: Cross multiply
    371,584.47x = 512,698.71 × 218,629.32
  4. Step 4: Simplify right side
    371,584.47x = 112,090,970,332.18
  5. Step 5: Solve for x
    x = 112,090,970,332.18/371,584.47
  6. Step 6: Final answer
    x = 301,656.77

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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.