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Finding the Fourth Proportional to 272,729.40, 408,948.30 and 114,779.40

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Solution

The fourth proportional to 272,729.40, 408,948.30 and 114,779.40 is: 172,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,729.40 : 408,948.30 = 114,779.40 : x
  2. Step 2: Convert to fraction form
    272,729.40/408,948.30 = 114,779.40/x
  3. Step 3: Cross multiply
    272,729.40x = 408,948.30 × 114,779.40
  4. Step 4: Simplify right side
    272,729.40x = 46,938,840,505.02
  5. Step 5: Solve for x
    x = 46,938,840,505.02/272,729.40
  6. Step 6: Final answer
    x = 172,107.74

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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.