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Finding the Fourth Proportional to 409,252.76, 613,880.34 and 143,013.32

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Solution

The fourth proportional to 409,252.76, 613,880.34 and 143,013.32 is: 214,520.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,252.76 : 613,880.34 = 143,013.32 : x
  2. Step 2: Convert to fraction form
    409,252.76/613,880.34 = 143,013.32/x
  3. Step 3: Cross multiply
    409,252.76x = 613,880.34 × 143,013.32
  4. Step 4: Simplify right side
    409,252.76x = 87,793,065,506.13
  5. Step 5: Solve for x
    x = 87,793,065,506.13/409,252.76
  6. Step 6: Final answer
    x = 214,520.40

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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.