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Finding the Fourth Proportional to 289,730.72, 434,715.66 and 156,454.03

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Solution

The fourth proportional to 289,730.72, 434,715.66 and 156,454.03 is: 234,745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,730.72 : 434,715.66 = 156,454.03 : x
  2. Step 2: Convert to fraction form
    289,730.72/434,715.66 = 156,454.03/x
  3. Step 3: Cross multiply
    289,730.72x = 434,715.66 × 156,454.03
  4. Step 4: Simplify right side
    289,730.72x = 68,013,017,454.50
  5. Step 5: Solve for x
    x = 68,013,017,454.50/289,730.72
  6. Step 6: Final answer
    x = 234,745.62

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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.