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Finding the Fourth Proportional to 307,152.72, 423,905.22 and 171,199.08

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Solution

The fourth proportional to 307,152.72, 423,905.22 and 171,199.08 is: 236,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,152.72 : 423,905.22 = 171,199.08 : x
  2. Step 2: Convert to fraction form
    307,152.72/423,905.22 = 171,199.08/x
  3. Step 3: Cross multiply
    307,152.72x = 423,905.22 × 171,199.08
  4. Step 4: Simplify right side
    307,152.72x = 72,572,183,671.20
  5. Step 5: Solve for x
    x = 72,572,183,671.20/307,152.72
  6. Step 6: Final answer
    x = 236,273.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.