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Finding the Fourth Proportional to 289,779.44, 434,772 and 129,842.80

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Solution

The fourth proportional to 289,779.44, 434,772 and 129,842.80 is: 194,810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,779.44 : 434,772 = 129,842.80 : x
  2. Step 2: Convert to fraction form
    289,779.44/434,772 = 129,842.80/x
  3. Step 3: Cross multiply
    289,779.44x = 434,772 × 129,842.80
  4. Step 4: Simplify right side
    289,779.44x = 56,452,013,841.60
  5. Step 5: Solve for x
    x = 56,452,013,841.60/289,779.44
  6. Step 6: Final answer
    x = 194,810.28

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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.