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Finding the Fourth Proportional to 429,869.70, 644,803.74 and 114,326.91

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Solution

The fourth proportional to 429,869.70, 644,803.74 and 114,326.91 is: 171,490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,869.70 : 644,803.74 = 114,326.91 : x
  2. Step 2: Convert to fraction form
    429,869.70/644,803.74 = 114,326.91/x
  3. Step 3: Cross multiply
    429,869.70x = 644,803.74 × 114,326.91
  4. Step 4: Simplify right side
    429,869.70x = 73,718,419,150.64
  5. Step 5: Solve for x
    x = 73,718,419,150.64/429,869.70
  6. Step 6: Final answer
    x = 171,490.15

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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.