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Finding the Fourth Proportional to 403,638.54, 605,435.25 and 123,133.74

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Solution

The fourth proportional to 403,638.54, 605,435.25 and 123,133.74 is: 184,693.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,638.54 : 605,435.25 = 123,133.74 : x
  2. Step 2: Convert to fraction form
    403,638.54/605,435.25 = 123,133.74/x
  3. Step 3: Cross multiply
    403,638.54x = 605,435.25 × 123,133.74
  4. Step 4: Simplify right side
    403,638.54x = 74,549,506,660.34
  5. Step 5: Solve for x
    x = 74,549,506,660.34/403,638.54
  6. Step 6: Final answer
    x = 184,693.73

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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.