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Finding the Fourth Proportional to 314,840,770.80, 472,460,221.80 and 185,448,130.80

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Solution

The fourth proportional to 314,840,770.80, 472,460,221.80 and 185,448,130.80 is: 278,289,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,840,770.80 : 472,460,221.80 = 185,448,130.80 : x
  2. Step 2: Convert to fraction form
    314,840,770.80/472,460,221.80 = 185,448,130.80/x
  3. Step 3: Cross multiply
    314,840,770.80x = 472,460,221.80 × 185,448,130.80
  4. Step 4: Simplify right side
    314,840,770.80x = 87,616,865,010,163,424
  5. Step 5: Solve for x
    x = 87,616,865,010,163,424/314,840,770.80
  6. Step 6: Final answer
    x = 278,289,450.21

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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.