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Finding the Fourth Proportional to 386,892.45, 533,033.33 and 299,376.66

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Solution

The fourth proportional to 386,892.45, 533,033.33 and 299,376.66 is: 412,460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,892.45 : 533,033.33 = 299,376.66 : x
  2. Step 2: Convert to fraction form
    386,892.45/533,033.33 = 299,376.66/x
  3. Step 3: Cross multiply
    386,892.45x = 533,033.33 × 299,376.66
  4. Step 4: Simplify right side
    386,892.45x = 159,577,736,507.19
  5. Step 5: Solve for x
    x = 159,577,736,507.19/386,892.45
  6. Step 6: Final answer
    x = 412,460.20

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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.