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Finding the Fourth Proportional to 561,520.64, 774,900.48 and 306,871.76

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Solution

The fourth proportional to 561,520.64, 774,900.48 and 306,871.76 is: 423,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,520.64 : 774,900.48 = 306,871.76 : x
  2. Step 2: Convert to fraction form
    561,520.64/774,900.48 = 306,871.76/x
  3. Step 3: Cross multiply
    561,520.64x = 774,900.48 × 306,871.76
  4. Step 4: Simplify right side
    561,520.64x = 237,795,074,122.45
  5. Step 5: Solve for x
    x = 237,795,074,122.45/561,520.64
  6. Step 6: Final answer
    x = 423,484.12

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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.