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Finding the Fourth Proportional to 289,411.34, 434,265.05 and 137,779.75

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Solution

The fourth proportional to 289,411.34, 434,265.05 and 137,779.75 is: 206,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,411.34 : 434,265.05 = 137,779.75 : x
  2. Step 2: Convert to fraction form
    289,411.34/434,265.05 = 137,779.75/x
  3. Step 3: Cross multiply
    289,411.34x = 434,265.05 × 137,779.75
  4. Step 4: Simplify right side
    289,411.34x = 59,832,930,022.74
  5. Step 5: Solve for x
    x = 59,832,930,022.74/289,411.34
  6. Step 6: Final answer
    x = 206,740.10

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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.