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Finding the Fourth Proportional to 379,980.90, 569,970.88 and 180,192.28

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Solution

The fourth proportional to 379,980.90, 569,970.88 and 180,192.28 is: 270,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,980.90 : 569,970.88 = 180,192.28 : x
  2. Step 2: Convert to fraction form
    379,980.90/569,970.88 = 180,192.28/x
  3. Step 3: Cross multiply
    379,980.90x = 569,970.88 × 180,192.28
  4. Step 4: Simplify right side
    379,980.90x = 102,704,352,400.81
  5. Step 5: Solve for x
    x = 102,704,352,400.81/379,980.90
  6. Step 6: Final answer
    x = 270,288.20

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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.