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Finding the Fourth Proportional to 398,714.61, 550,239.93 and 226,639.74

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Solution

The fourth proportional to 398,714.61, 550,239.93 and 226,639.74 is: 312,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,714.61 : 550,239.93 = 226,639.74 : x
  2. Step 2: Convert to fraction form
    398,714.61/550,239.93 = 226,639.74/x
  3. Step 3: Cross multiply
    398,714.61x = 550,239.93 × 226,639.74
  4. Step 4: Simplify right side
    398,714.61x = 124,706,234,672.82
  5. Step 5: Solve for x
    x = 124,706,234,672.82/398,714.61
  6. Step 6: Final answer
    x = 312,770.67

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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.