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Finding the Fourth Proportional to 291,301.40, 437,121.90 and 122,811.40

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Solution

The fourth proportional to 291,301.40, 437,121.90 and 122,811.40 is: 184,288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,301.40 : 437,121.90 = 122,811.40 : x
  2. Step 2: Convert to fraction form
    291,301.40/437,121.90 = 122,811.40/x
  3. Step 3: Cross multiply
    291,301.40x = 437,121.90 × 122,811.40
  4. Step 4: Simplify right side
    291,301.40x = 53,683,552,509.66
  5. Step 5: Solve for x
    x = 53,683,552,509.66/291,301.40
  6. Step 6: Final answer
    x = 184,288.69

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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.