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Finding the Fourth Proportional to 538,278.60, 807,029.10 and 301,693.80

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Solution

The fourth proportional to 538,278.60, 807,029.10 and 301,693.80 is: 452,322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,278.60 : 807,029.10 = 301,693.80 : x
  2. Step 2: Convert to fraction form
    538,278.60/807,029.10 = 301,693.80/x
  3. Step 3: Cross multiply
    538,278.60x = 807,029.10 × 301,693.80
  4. Step 4: Simplify right side
    538,278.60x = 243,475,675,889.58
  5. Step 5: Solve for x
    x = 243,475,675,889.58/538,278.60
  6. Step 6: Final answer
    x = 452,322.79

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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.