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Finding the Fourth Proportional to 409,042.60, 613,563.90 and 283,071.40

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Solution

The fourth proportional to 409,042.60, 613,563.90 and 283,071.40 is: 424,607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,042.60 : 613,563.90 = 283,071.40 : x
  2. Step 2: Convert to fraction form
    409,042.60/613,563.90 = 283,071.40/x
  3. Step 3: Cross multiply
    409,042.60x = 613,563.90 × 283,071.40
  4. Step 4: Simplify right side
    409,042.60x = 173,682,392,162.46
  5. Step 5: Solve for x
    x = 173,682,392,162.46/409,042.60
  6. Step 6: Final answer
    x = 424,607.10

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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.