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Finding the Fourth Proportional to 403,840.80, 605,615.40 and 204,094.80

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Solution

The fourth proportional to 403,840.80, 605,615.40 and 204,094.80 is: 306,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,840.80 : 605,615.40 = 204,094.80 : x
  2. Step 2: Convert to fraction form
    403,840.80/605,615.40 = 204,094.80/x
  3. Step 3: Cross multiply
    403,840.80x = 605,615.40 × 204,094.80
  4. Step 4: Simplify right side
    403,840.80x = 123,602,953,939.92
  5. Step 5: Solve for x
    x = 123,602,953,939.92/403,840.80
  6. Step 6: Final answer
    x = 306,068.51

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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.