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Finding the Fourth Proportional to 546,782.94, 821,238.82 and 445,655.76

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Solution

The fourth proportional to 546,782.94, 821,238.82 and 445,655.76 is: 669,351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,782.94 : 821,238.82 = 445,655.76 : x
  2. Step 2: Convert to fraction form
    546,782.94/821,238.82 = 445,655.76/x
  3. Step 3: Cross multiply
    546,782.94x = 821,238.82 × 445,655.76
  4. Step 4: Simplify right side
    546,782.94x = 365,989,806,274.82
  5. Step 5: Solve for x
    x = 365,989,806,274.82/546,782.94
  6. Step 6: Final answer
    x = 669,351.18

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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.