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Finding the Fourth Proportional to 538,577.76, 743,234.49 and 296,860.80

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Solution

The fourth proportional to 538,577.76, 743,234.49 and 296,860.80 is: 409,666.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,577.76 : 743,234.49 = 296,860.80 : x
  2. Step 2: Convert to fraction form
    538,577.76/743,234.49 = 296,860.80/x
  3. Step 3: Cross multiply
    538,577.76x = 743,234.49 × 296,860.80
  4. Step 4: Simplify right side
    538,577.76x = 220,637,185,288.99
  5. Step 5: Solve for x
    x = 220,637,185,288.99/538,577.76
  6. Step 6: Final answer
    x = 409,666.35

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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.