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Finding the Fourth Proportional to 289,340.10, 434,027.16 and 111,848.04

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Solution

The fourth proportional to 289,340.10, 434,027.16 and 111,848.04 is: 167,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,340.10 : 434,027.16 = 111,848.04 : x
  2. Step 2: Convert to fraction form
    289,340.10/434,027.16 = 111,848.04/x
  3. Step 3: Cross multiply
    289,340.10x = 434,027.16 × 111,848.04
  4. Step 4: Simplify right side
    289,340.10x = 48,545,087,152.77
  5. Step 5: Solve for x
    x = 48,545,087,152.77/289,340.10
  6. Step 6: Final answer
    x = 167,778.64

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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.