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Finding the Fourth Proportional to 429,941.52, 644,840.28 and 130,350.48

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Solution

The fourth proportional to 429,941.52, 644,840.28 and 130,350.48 is: 195,503.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,941.52 : 644,840.28 = 130,350.48 : x
  2. Step 2: Convert to fraction form
    429,941.52/644,840.28 = 130,350.48/x
  3. Step 3: Cross multiply
    429,941.52x = 644,840.28 × 130,350.48
  4. Step 4: Simplify right side
    429,941.52x = 84,055,240,021.33
  5. Step 5: Solve for x
    x = 84,055,240,021.33/429,941.52
  6. Step 6: Final answer
    x = 195,503.89

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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.