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Finding the Fourth Proportional to 429,563.40, 644,295.72 and 114,045

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Solution

The fourth proportional to 429,563.40, 644,295.72 and 114,045 is: 171,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,563.40 : 644,295.72 = 114,045 : x
  2. Step 2: Convert to fraction form
    429,563.40/644,295.72 = 114,045/x
  3. Step 3: Cross multiply
    429,563.40x = 644,295.72 × 114,045
  4. Step 4: Simplify right side
    429,563.40x = 73,478,705,387.40
  5. Step 5: Solve for x
    x = 73,478,705,387.40/429,563.40
  6. Step 6: Final answer
    x = 171,054.39

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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.