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Finding the Fourth Proportional to 403,975.60, 605,963.40 and 123,456.40

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Solution

The fourth proportional to 403,975.60, 605,963.40 and 123,456.40 is: 185,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,975.60 : 605,963.40 = 123,456.40 : x
  2. Step 2: Convert to fraction form
    403,975.60/605,963.40 = 123,456.40/x
  3. Step 3: Cross multiply
    403,975.60x = 605,963.40 × 123,456.40
  4. Step 4: Simplify right side
    403,975.60x = 74,810,059,895.76
  5. Step 5: Solve for x
    x = 74,810,059,895.76/403,975.60
  6. Step 6: Final answer
    x = 185,184.60

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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.