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Finding the Fourth Proportional to 521,652.96, 719,863.20 and 306,743.76

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Solution

The fourth proportional to 521,652.96, 719,863.20 and 306,743.76 is: 423,295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,652.96 : 719,863.20 = 306,743.76 : x
  2. Step 2: Convert to fraction form
    521,652.96/719,863.20 = 306,743.76/x
  3. Step 3: Cross multiply
    521,652.96x = 719,863.20 × 306,743.76
  4. Step 4: Simplify right side
    521,652.96x = 220,813,544,653.63
  5. Step 5: Solve for x
    x = 220,813,544,653.63/521,652.96
  6. Step 6: Final answer
    x = 423,295.87

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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.