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Finding the Fourth Proportional to 474,336, 654,739.20 and 340,588.80

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Solution

The fourth proportional to 474,336, 654,739.20 and 340,588.80 is: 470,124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,336 : 654,739.20 = 340,588.80 : x
  2. Step 2: Convert to fraction form
    474,336/654,739.20 = 340,588.80/x
  3. Step 3: Cross multiply
    474,336x = 654,739.20 × 340,588.80
  4. Step 4: Simplify right side
    474,336x = 222,996,838,440.96
  5. Step 5: Solve for x
    x = 222,996,838,440.96/474,336
  6. Step 6: Final answer
    x = 470,124.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.