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Finding the Fourth Proportional to 429,755.25, 644,561.38 and 130,164.60

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Solution

The fourth proportional to 429,755.25, 644,561.38 and 130,164.60 is: 195,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,755.25 : 644,561.38 = 130,164.60 : x
  2. Step 2: Convert to fraction form
    429,755.25/644,561.38 = 130,164.60/x
  3. Step 3: Cross multiply
    429,755.25x = 644,561.38 × 130,164.60
  4. Step 4: Simplify right side
    429,755.25x = 83,899,076,782.96
  5. Step 5: Solve for x
    x = 83,899,076,782.96/429,755.25
  6. Step 6: Final answer
    x = 195,225.25

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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.