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Finding the Fourth Proportional to 429,959.10, 644,940.21 and 130,442.22

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Solution

The fourth proportional to 429,959.10, 644,940.21 and 130,442.22 is: 195,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,959.10 : 644,940.21 = 130,442.22 : x
  2. Step 2: Convert to fraction form
    429,959.10/644,940.21 = 130,442.22/x
  3. Step 3: Cross multiply
    429,959.10x = 644,940.21 × 130,442.22
  4. Step 4: Simplify right side
    429,959.10x = 84,127,432,759.67
  5. Step 5: Solve for x
    x = 84,127,432,759.67/429,959.10
  6. Step 6: Final answer
    x = 195,663.80

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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.