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Finding the Fourth Proportional to 289,730.86, 434,715.87 and 156,454.17

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Solution

The fourth proportional to 289,730.86, 434,715.87 and 156,454.17 is: 234,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,730.86 : 434,715.87 = 156,454.17 : x
  2. Step 2: Convert to fraction form
    289,730.86/434,715.87 = 156,454.17/x
  3. Step 3: Cross multiply
    289,730.86x = 434,715.87 × 156,454.17
  4. Step 4: Simplify right side
    289,730.86x = 68,013,111,588.45
  5. Step 5: Solve for x
    x = 68,013,111,588.45/289,730.86
  6. Step 6: Final answer
    x = 234,745.83

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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.