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Finding the Fourth Proportional to 434,216.82, 651,343.50 and 118,672.86

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Solution

The fourth proportional to 434,216.82, 651,343.50 and 118,672.86 is: 178,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,216.82 : 651,343.50 = 118,672.86 : x
  2. Step 2: Convert to fraction form
    434,216.82/651,343.50 = 118,672.86/x
  3. Step 3: Cross multiply
    434,216.82x = 651,343.50 × 118,672.86
  4. Step 4: Simplify right side
    434,216.82x = 77,296,795,987.41
  5. Step 5: Solve for x
    x = 77,296,795,987.41/434,216.82
  6. Step 6: Final answer
    x = 178,014.28

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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.