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Finding the Fourth Proportional to 545,978.40, 753,450.90 and 304,255.66

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Solution

The fourth proportional to 545,978.40, 753,450.90 and 304,255.66 is: 419,873.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,978.40 : 753,450.90 = 304,255.66 : x
  2. Step 2: Convert to fraction form
    545,978.40/753,450.90 = 304,255.66/x
  3. Step 3: Cross multiply
    545,978.40x = 753,450.90 × 304,255.66
  4. Step 4: Simplify right side
    545,978.40x = 229,241,700,857.09
  5. Step 5: Solve for x
    x = 229,241,700,857.09/545,978.40
  6. Step 6: Final answer
    x = 419,873.21

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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.