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Finding the Fourth Proportional to 392,457.96, 588,860.28 and 304,475.76

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Solution

The fourth proportional to 392,457.96, 588,860.28 and 304,475.76 is: 456,848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,457.96 : 588,860.28 = 304,475.76 : x
  2. Step 2: Convert to fraction form
    392,457.96/588,860.28 = 304,475.76/x
  3. Step 3: Cross multiply
    392,457.96x = 588,860.28 × 304,475.76
  4. Step 4: Simplify right side
    392,457.96x = 179,293,681,286.81
  5. Step 5: Solve for x
    x = 179,293,681,286.81/392,457.96
  6. Step 6: Final answer
    x = 456,848.12

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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.