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Finding the Fourth Proportional to 310,355.80, 464,887.82 and 299,649.22

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Solution

The fourth proportional to 310,355.80, 464,887.82 and 299,649.22 is: 448,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,355.80 : 464,887.82 = 299,649.22 : x
  2. Step 2: Convert to fraction form
    310,355.80/464,887.82 = 299,649.22/x
  3. Step 3: Cross multiply
    310,355.80x = 464,887.82 × 299,649.22
  4. Step 4: Simplify right side
    310,355.80x = 139,303,272,650.50
  5. Step 5: Solve for x
    x = 139,303,272,650.50/310,355.80
  6. Step 6: Final answer
    x = 448,850.23

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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.