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Finding the Fourth Proportional to 273,486,492.80, 410,130,206.40 and 137,126,556.80

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Solution

The fourth proportional to 273,486,492.80, 410,130,206.40 and 137,126,556.80 is: 205,639,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,486,492.80 : 410,130,206.40 = 137,126,556.80 : x
  2. Step 2: Convert to fraction form
    273,486,492.80/410,130,206.40 = 137,126,556.80/x
  3. Step 3: Cross multiply
    273,486,492.80x = 410,130,206.40 × 137,126,556.80
  4. Step 4: Simplify right side
    273,486,492.80x = 56,239,743,043,305,328
  5. Step 5: Solve for x
    x = 56,239,743,043,305,328/273,486,492.80
  6. Step 6: Final answer
    x = 205,639,929.30

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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.