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Finding the Fourth Proportional to 411,920.80, 617,420.40 and 175,223.20

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Solution

The fourth proportional to 411,920.80, 617,420.40 and 175,223.20 is: 262,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,920.80 : 617,420.40 = 175,223.20 : x
  2. Step 2: Convert to fraction form
    411,920.80/617,420.40 = 175,223.20/x
  3. Step 3: Cross multiply
    411,920.80x = 617,420.40 × 175,223.20
  4. Step 4: Simplify right side
    411,920.80x = 108,186,378,233.28
  5. Step 5: Solve for x
    x = 108,186,378,233.28/411,920.80
  6. Step 6: Final answer
    x = 262,638.78

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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.