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Finding the Fourth Proportional to 403,224.90, 605,165.40 and 390,102.90

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Solution

The fourth proportional to 403,224.90, 605,165.40 and 390,102.90 is: 585,471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,224.90 : 605,165.40 = 390,102.90 : x
  2. Step 2: Convert to fraction form
    403,224.90/605,165.40 = 390,102.90/x
  3. Step 3: Cross multiply
    403,224.90x = 605,165.40 × 390,102.90
  4. Step 4: Simplify right side
    403,224.90x = 236,076,777,519.66
  5. Step 5: Solve for x
    x = 236,076,777,519.66/403,224.90
  6. Step 6: Final answer
    x = 585,471.72

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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.