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Finding the Fourth Proportional to 409,083.20, 613,880.35 and 156,385.07

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Solution

The fourth proportional to 409,083.20, 613,880.35 and 156,385.07 is: 234,675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,083.20 : 613,880.35 = 156,385.07 : x
  2. Step 2: Convert to fraction form
    409,083.20/613,880.35 = 156,385.07/x
  3. Step 3: Cross multiply
    409,083.20x = 613,880.35 × 156,385.07
  4. Step 4: Simplify right side
    409,083.20x = 96,001,721,506.37
  5. Step 5: Solve for x
    x = 96,001,721,506.37/409,083.20
  6. Step 6: Final answer
    x = 234,675.30

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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.