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Finding the Fourth Proportional to 314,928,243.20, 472,392,364.80 and 169,809,420.80

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Solution

The fourth proportional to 314,928,243.20, 472,392,364.80 and 169,809,420.80 is: 254,714,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,243.20 : 472,392,364.80 = 169,809,420.80 : x
  2. Step 2: Convert to fraction form
    314,928,243.20/472,392,364.80 = 169,809,420.80/x
  3. Step 3: Cross multiply
    314,928,243.20x = 472,392,364.80 × 169,809,420.80
  4. Step 4: Simplify right side
    314,928,243.20x = 80,216,673,857,030,320
  5. Step 5: Solve for x
    x = 80,216,673,857,030,320/314,928,243.20
  6. Step 6: Final answer
    x = 254,714,131.20

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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.