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Finding the Fourth Proportional to 538,607.61, 807,823.80 and 254,297.61

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Solution

The fourth proportional to 538,607.61, 807,823.80 and 254,297.61 is: 381,405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,607.61 : 807,823.80 = 254,297.61 : x
  2. Step 2: Convert to fraction form
    538,607.61/807,823.80 = 254,297.61/x
  3. Step 3: Cross multiply
    538,607.61x = 807,823.80 × 254,297.61
  4. Step 4: Simplify right side
    538,607.61x = 205,427,661,641.12
  5. Step 5: Solve for x
    x = 205,427,661,641.12/538,607.61
  6. Step 6: Final answer
    x = 381,405.05

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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.