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Finding the Fourth Proportional to 478,459.80, 659,831 and 349,193.52

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Solution

The fourth proportional to 478,459.80, 659,831 and 349,193.52 is: 481,563.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,459.80 : 659,831 = 349,193.52 : x
  2. Step 2: Convert to fraction form
    478,459.80/659,831 = 349,193.52/x
  3. Step 3: Cross multiply
    478,459.80x = 659,831 × 349,193.52
  4. Step 4: Simplify right side
    478,459.80x = 230,408,709,495.12
  5. Step 5: Solve for x
    x = 230,408,709,495.12/478,459.80
  6. Step 6: Final answer
    x = 481,563.36

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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.