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Finding the Fourth Proportional to 307,400.46, 424,211.80 and 171,434.56

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Solution

The fourth proportional to 307,400.46, 424,211.80 and 171,434.56 is: 236,579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,400.46 : 424,211.80 = 171,434.56 : x
  2. Step 2: Convert to fraction form
    307,400.46/424,211.80 = 171,434.56/x
  3. Step 3: Cross multiply
    307,400.46x = 424,211.80 × 171,434.56
  4. Step 4: Simplify right side
    307,400.46x = 72,724,563,279.81
  5. Step 5: Solve for x
    x = 72,724,563,279.81/307,400.46
  6. Step 6: Final answer
    x = 236,579.23

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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.