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Finding the Fourth Proportional to 403,828.02, 605,720.10 and 123,323.40

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Solution

The fourth proportional to 403,828.02, 605,720.10 and 123,323.40 is: 184,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,828.02 : 605,720.10 = 123,323.40 : x
  2. Step 2: Convert to fraction form
    403,828.02/605,720.10 = 123,323.40/x
  3. Step 3: Cross multiply
    403,828.02x = 605,720.10 × 123,323.40
  4. Step 4: Simplify right side
    403,828.02x = 74,699,462,180.34
  5. Step 5: Solve for x
    x = 74,699,462,180.34/403,828.02
  6. Step 6: Final answer
    x = 184,978.40

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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.