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Finding the Fourth Proportional to 386,326.94, 533,109.40 and 225,208.22

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Solution

The fourth proportional to 386,326.94, 533,109.40 and 225,208.22 is: 310,774.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,326.94 : 533,109.40 = 225,208.22 : x
  2. Step 2: Convert to fraction form
    386,326.94/533,109.40 = 225,208.22/x
  3. Step 3: Cross multiply
    386,326.94x = 533,109.40 × 225,208.22
  4. Step 4: Simplify right side
    386,326.94x = 120,060,615,810.70
  5. Step 5: Solve for x
    x = 120,060,615,810.70/386,326.94
  6. Step 6: Final answer
    x = 310,774.64

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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.