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Finding the Fourth Proportional to 410,645.70, 615,961.26 and 210,848.67

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Solution

The fourth proportional to 410,645.70, 615,961.26 and 210,848.67 is: 316,269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,645.70 : 615,961.26 = 210,848.67 : x
  2. Step 2: Convert to fraction form
    410,645.70/615,961.26 = 210,848.67/x
  3. Step 3: Cross multiply
    410,645.70x = 615,961.26 × 210,848.67
  4. Step 4: Simplify right side
    410,645.70x = 129,874,612,442.52
  5. Step 5: Solve for x
    x = 129,874,612,442.52/410,645.70
  6. Step 6: Final answer
    x = 316,269.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.