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Finding the Fourth Proportional to 387,910.69, 535,303.23 and 213,464.59

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Solution

The fourth proportional to 387,910.69, 535,303.23 and 213,464.59 is: 294,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,910.69 : 535,303.23 = 213,464.59 : x
  2. Step 2: Convert to fraction form
    387,910.69/535,303.23 = 213,464.59/x
  3. Step 3: Cross multiply
    387,910.69x = 535,303.23 × 213,464.59
  4. Step 4: Simplify right side
    387,910.69x = 114,268,284,517.63
  5. Step 5: Solve for x
    x = 114,268,284,517.63/387,910.69
  6. Step 6: Final answer
    x = 294,573.69

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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.