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Finding the Fourth Proportional to 540,604.64, 746,012.40 and 298,871.84

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Solution

The fourth proportional to 540,604.64, 746,012.40 and 298,871.84 is: 412,430.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,604.64 : 746,012.40 = 298,871.84 : x
  2. Step 2: Convert to fraction form
    540,604.64/746,012.40 = 298,871.84/x
  3. Step 3: Cross multiply
    540,604.64x = 746,012.40 × 298,871.84
  4. Step 4: Simplify right side
    540,604.64x = 222,962,098,650.82
  5. Step 5: Solve for x
    x = 222,962,098,650.82/540,604.64
  6. Step 6: Final answer
    x = 412,430.97

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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.