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Finding the Fourth Proportional to 305,951.22, 420,715.35 and 265,594.41

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Solution

The fourth proportional to 305,951.22, 420,715.35 and 265,594.41 is: 365,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,951.22 : 420,715.35 = 265,594.41 : x
  2. Step 2: Convert to fraction form
    305,951.22/420,715.35 = 265,594.41/x
  3. Step 3: Cross multiply
    305,951.22x = 420,715.35 × 265,594.41
  4. Step 4: Simplify right side
    305,951.22x = 111,739,645,161.19
  5. Step 5: Solve for x
    x = 111,739,645,161.19/305,951.22
  6. Step 6: Final answer
    x = 365,220.46

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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.