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Finding the Fourth Proportional to 434,495.20, 651,742.80 and 185,144.80

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Solution

The fourth proportional to 434,495.20, 651,742.80 and 185,144.80 is: 277,717.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,495.20 : 651,742.80 = 185,144.80 : x
  2. Step 2: Convert to fraction form
    434,495.20/651,742.80 = 185,144.80/x
  3. Step 3: Cross multiply
    434,495.20x = 651,742.80 × 185,144.80
  4. Step 4: Simplify right side
    434,495.20x = 120,666,790,357.44
  5. Step 5: Solve for x
    x = 120,666,790,357.44/434,495.20
  6. Step 6: Final answer
    x = 277,717.20

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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.