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Finding the Fourth Proportional to 340,765.13, 470,336.02 and 211,801

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Solution

The fourth proportional to 340,765.13, 470,336.02 and 211,801 is: 292,335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,765.13 : 470,336.02 = 211,801 : x
  2. Step 2: Convert to fraction form
    340,765.13/470,336.02 = 211,801/x
  3. Step 3: Cross multiply
    340,765.13x = 470,336.02 × 211,801
  4. Step 4: Simplify right side
    340,765.13x = 99,617,639,372.02
  5. Step 5: Solve for x
    x = 99,617,639,372.02/340,765.13
  6. Step 6: Final answer
    x = 292,335.19

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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.