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Finding the Fourth Proportional to 388,705.97, 536,390.61 and 214,268.51

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Solution

The fourth proportional to 388,705.97, 536,390.61 and 214,268.51 is: 295,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,705.97 : 536,390.61 = 214,268.51 : x
  2. Step 2: Convert to fraction form
    388,705.97/536,390.61 = 214,268.51/x
  3. Step 3: Cross multiply
    388,705.97x = 536,390.61 × 214,268.51
  4. Step 4: Simplify right side
    388,705.97x = 114,931,614,100.74
  5. Step 5: Solve for x
    x = 114,931,614,100.74/388,705.97
  6. Step 6: Final answer
    x = 295,677.52

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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.