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Finding the Fourth Proportional to 423,980.80, 635,971.20 and 187,201.60

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Solution

The fourth proportional to 423,980.80, 635,971.20 and 187,201.60 is: 280,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,980.80 : 635,971.20 = 187,201.60 : x
  2. Step 2: Convert to fraction form
    423,980.80/635,971.20 = 187,201.60/x
  3. Step 3: Cross multiply
    423,980.80x = 635,971.20 × 187,201.60
  4. Step 4: Simplify right side
    423,980.80x = 119,054,826,193.92
  5. Step 5: Solve for x
    x = 119,054,826,193.92/423,980.80
  6. Step 6: Final answer
    x = 280,802.40

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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.