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Finding the Fourth Proportional to 538,003.60, 807,005.40 and 497,453.20

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Solution

The fourth proportional to 538,003.60, 807,005.40 and 497,453.20 is: 746,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,003.60 : 807,005.40 = 497,453.20 : x
  2. Step 2: Convert to fraction form
    538,003.60/807,005.40 = 497,453.20/x
  3. Step 3: Cross multiply
    538,003.60x = 807,005.40 × 497,453.20
  4. Step 4: Simplify right side
    538,003.60x = 401,447,418,647.28
  5. Step 5: Solve for x
    x = 401,447,418,647.28/538,003.60
  6. Step 6: Final answer
    x = 746,179.80

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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.