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Finding the Fourth Proportional to 273,668,520.80, 409,930,467.60 and 128,226,216.80

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Solution

The fourth proportional to 273,668,520.80, 409,930,467.60 and 128,226,216.80 is: 192,071,170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,668,520.80 : 409,930,467.60 = 128,226,216.80 : x
  2. Step 2: Convert to fraction form
    273,668,520.80/409,930,467.60 = 128,226,216.80/x
  3. Step 3: Cross multiply
    273,668,520.80x = 409,930,467.60 × 128,226,216.80
  4. Step 4: Simplify right side
    273,668,520.80x = 52,563,833,011,402,976
  5. Step 5: Solve for x
    x = 52,563,833,011,402,976/273,668,520.80
  6. Step 6: Final answer
    x = 192,071,170.11

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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.