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Finding the Fourth Proportional to 240,471.36, 331,821.63 and 138,530.16

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Solution

The fourth proportional to 240,471.36, 331,821.63 and 138,530.16 is: 191,155.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,471.36 : 331,821.63 = 138,530.16 : x
  2. Step 2: Convert to fraction form
    240,471.36/331,821.63 = 138,530.16/x
  3. Step 3: Cross multiply
    240,471.36x = 331,821.63 × 138,530.16
  4. Step 4: Simplify right side
    240,471.36x = 45,967,303,495.36
  5. Step 5: Solve for x
    x = 45,967,303,495.36/240,471.36
  6. Step 6: Final answer
    x = 191,155.00

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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.