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Finding the Fourth Proportional to 429,322.31, 644,006.21 and 129,795.24

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Solution

The fourth proportional to 429,322.31, 644,006.21 and 129,795.24 is: 194,699.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,322.31 : 644,006.21 = 129,795.24 : x
  2. Step 2: Convert to fraction form
    429,322.31/644,006.21 = 129,795.24/x
  3. Step 3: Cross multiply
    429,322.31x = 644,006.21 × 129,795.24
  4. Step 4: Simplify right side
    429,322.31x = 83,588,939,939.46
  5. Step 5: Solve for x
    x = 83,588,939,939.46/429,322.31
  6. Step 6: Final answer
    x = 194,699.74

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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.