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Finding the Fourth Proportional to 354,090.80, 531,230.76 and 154,427.28

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Solution

The fourth proportional to 354,090.80, 531,230.76 and 154,427.28 is: 231,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,090.80 : 531,230.76 = 154,427.28 : x
  2. Step 2: Convert to fraction form
    354,090.80/531,230.76 = 154,427.28/x
  3. Step 3: Cross multiply
    354,090.80x = 531,230.76 × 154,427.28
  4. Step 4: Simplify right side
    354,090.80x = 82,036,521,319.13
  5. Step 5: Solve for x
    x = 82,036,521,319.13/354,090.80
  6. Step 6: Final answer
    x = 231,682.16

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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.