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Finding the Fourth Proportional to 289,419.14, 399,271.19 and 174,633.76

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Solution

The fourth proportional to 289,419.14, 399,271.19 and 174,633.76 is: 240,917.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,419.14 : 399,271.19 = 174,633.76 : x
  2. Step 2: Convert to fraction form
    289,419.14/399,271.19 = 174,633.76/x
  3. Step 3: Cross multiply
    289,419.14x = 399,271.19 × 174,633.76
  4. Step 4: Simplify right side
    289,419.14x = 69,726,227,298.03
  5. Step 5: Solve for x
    x = 69,726,227,298.03/289,419.14
  6. Step 6: Final answer
    x = 240,917.82

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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.