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Finding the Fourth Proportional to 391,538.18, 540,194.19 and 219,431

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Solution

The fourth proportional to 391,538.18, 540,194.19 and 219,431 is: 302,742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,538.18 : 540,194.19 = 219,431 : x
  2. Step 2: Convert to fraction form
    391,538.18/540,194.19 = 219,431/x
  3. Step 3: Cross multiply
    391,538.18x = 540,194.19 × 219,431
  4. Step 4: Simplify right side
    391,538.18x = 118,535,351,305.89
  5. Step 5: Solve for x
    x = 118,535,351,305.89/391,538.18
  6. Step 6: Final answer
    x = 302,742.77

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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.