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Finding the Fourth Proportional to 472,996.80, 709,495.20 and 220,276.80

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Solution

The fourth proportional to 472,996.80, 709,495.20 and 220,276.80 is: 330,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,996.80 : 709,495.20 = 220,276.80 : x
  2. Step 2: Convert to fraction form
    472,996.80/709,495.20 = 220,276.80/x
  3. Step 3: Cross multiply
    472,996.80x = 709,495.20 × 220,276.80
  4. Step 4: Simplify right side
    472,996.80x = 156,285,332,271.36
  5. Step 5: Solve for x
    x = 156,285,332,271.36/472,996.80
  6. Step 6: Final answer
    x = 330,415.20

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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.