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Finding the Fourth Proportional to 395,261.96, 545,457.78 and 213,969.26

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Solution

The fourth proportional to 395,261.96, 545,457.78 and 213,969.26 is: 295,275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,261.96 : 545,457.78 = 213,969.26 : x
  2. Step 2: Convert to fraction form
    395,261.96/545,457.78 = 213,969.26/x
  3. Step 3: Cross multiply
    395,261.96x = 545,457.78 × 213,969.26
  4. Step 4: Simplify right side
    395,261.96x = 116,711,197,547.84
  5. Step 5: Solve for x
    x = 116,711,197,547.84/395,261.96
  6. Step 6: Final answer
    x = 295,275.56

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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.