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Finding the Fourth Proportional to 310,359.80, 464,893.82 and 299,653.22

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Solution

The fourth proportional to 310,359.80, 464,893.82 and 299,653.22 is: 448,856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,359.80 : 464,893.82 = 299,653.22 : x
  2. Step 2: Convert to fraction form
    310,359.80/464,893.82 = 299,653.22/x
  3. Step 3: Cross multiply
    310,359.80x = 464,893.82 × 299,653.22
  4. Step 4: Simplify right side
    310,359.80x = 139,306,930,121.10
  5. Step 5: Solve for x
    x = 139,306,930,121.10/310,359.80
  6. Step 6: Final answer
    x = 448,856.23

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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.