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Finding the Fourth Proportional to 291,442.70, 437,079.94 and 123,000.78

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Solution

The fourth proportional to 291,442.70, 437,079.94 and 123,000.78 is: 184,465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,442.70 : 437,079.94 = 123,000.78 : x
  2. Step 2: Convert to fraction form
    291,442.70/437,079.94 = 123,000.78/x
  3. Step 3: Cross multiply
    291,442.70x = 437,079.94 × 123,000.78
  4. Step 4: Simplify right side
    291,442.70x = 53,761,173,542.35
  5. Step 5: Solve for x
    x = 53,761,173,542.35/291,442.70
  6. Step 6: Final answer
    x = 184,465.67

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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.