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Finding the Fourth Proportional to 289,741.56, 434,737.20 and 156,715.48

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Solution

The fourth proportional to 289,741.56, 434,737.20 and 156,715.48 is: 235,140.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,741.56 : 434,737.20 = 156,715.48 : x
  2. Step 2: Convert to fraction form
    289,741.56/434,737.20 = 156,715.48/x
  3. Step 3: Cross multiply
    289,741.56x = 434,737.20 × 156,715.48
  4. Step 4: Simplify right side
    289,741.56x = 68,130,048,971.86
  5. Step 5: Solve for x
    x = 68,130,048,971.86/289,741.56
  6. Step 6: Final answer
    x = 235,140.75

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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.