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Finding the Fourth Proportional to 409,241.70, 613,862.55 and 393,495.30

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Solution

The fourth proportional to 409,241.70, 613,862.55 and 393,495.30 is: 590,242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,241.70 : 613,862.55 = 393,495.30 : x
  2. Step 2: Convert to fraction form
    409,241.70/613,862.55 = 393,495.30/x
  3. Step 3: Cross multiply
    409,241.70x = 613,862.55 × 393,495.30
  4. Step 4: Simplify right side
    409,241.70x = 241,552,028,271.02
  5. Step 5: Solve for x
    x = 241,552,028,271.02/409,241.70
  6. Step 6: Final answer
    x = 590,242.95

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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.