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Finding the Fourth Proportional to 289,801.18, 434,826.92 and 156,775.08

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Solution

The fourth proportional to 289,801.18, 434,826.92 and 156,775.08 is: 235,230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,801.18 : 434,826.92 = 156,775.08 : x
  2. Step 2: Convert to fraction form
    289,801.18/434,826.92 = 156,775.08/x
  3. Step 3: Cross multiply
    289,801.18x = 434,826.92 × 156,775.08
  4. Step 4: Simplify right side
    289,801.18x = 68,170,025,169.15
  5. Step 5: Solve for x
    x = 68,170,025,169.15/289,801.18
  6. Step 6: Final answer
    x = 235,230.32

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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.