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Finding the Fourth Proportional to 360,408.98, 497,355.63 and 199,259.88

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Solution

The fourth proportional to 360,408.98, 497,355.63 and 199,259.88 is: 274,973.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,408.98 : 497,355.63 = 199,259.88 : x
  2. Step 2: Convert to fraction form
    360,408.98/497,355.63 = 199,259.88/x
  3. Step 3: Cross multiply
    360,408.98x = 497,355.63 × 199,259.88
  4. Step 4: Simplify right side
    360,408.98x = 99,103,023,151.12
  5. Step 5: Solve for x
    x = 99,103,023,151.12/360,408.98
  6. Step 6: Final answer
    x = 274,973.79

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1.5x scale

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.