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Finding the Fourth Proportional to 289,596.28, 399,643.02 and 176,419.03

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Solution

The fourth proportional to 289,596.28, 399,643.02 and 176,419.03 is: 243,458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,596.28 : 399,643.02 = 176,419.03 : x
  2. Step 2: Convert to fraction form
    289,596.28/399,643.02 = 176,419.03/x
  3. Step 3: Cross multiply
    289,596.28x = 399,643.02 × 176,419.03
  4. Step 4: Simplify right side
    289,596.28x = 70,504,633,934.67
  5. Step 5: Solve for x
    x = 70,504,633,934.67/289,596.28
  6. Step 6: Final answer
    x = 243,458.35

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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.