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Finding the Fourth Proportional to 403,784.80, 605,531.40 and 204,038.80

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Solution

The fourth proportional to 403,784.80, 605,531.40 and 204,038.80 is: 305,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,784.80 : 605,531.40 = 204,038.80 : x
  2. Step 2: Convert to fraction form
    403,784.80/605,531.40 = 204,038.80/x
  3. Step 3: Cross multiply
    403,784.80x = 605,531.40 × 204,038.80
  4. Step 4: Simplify right side
    403,784.80x = 123,551,900,218.32
  5. Step 5: Solve for x
    x = 123,551,900,218.32/403,784.80
  6. Step 6: Final answer
    x = 305,984.52

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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.