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Finding the Fourth Proportional to 392,459.96, 588,863.28 and 304,477.76

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Solution

The fourth proportional to 392,459.96, 588,863.28 and 304,477.76 is: 456,851.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,459.96 : 588,863.28 = 304,477.76 : x
  2. Step 2: Convert to fraction form
    392,459.96/588,863.28 = 304,477.76/x
  3. Step 3: Cross multiply
    392,459.96x = 588,863.28 × 304,477.76
  4. Step 4: Simplify right side
    392,459.96x = 179,295,772,440.65
  5. Step 5: Solve for x
    x = 179,295,772,440.65/392,459.96
  6. Step 6: Final answer
    x = 456,851.12

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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.