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Finding the Fourth Proportional to 340,637.70, 470,092.35 and 211,647.30

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Solution

The fourth proportional to 340,637.70, 470,092.35 and 211,647.30 is: 292,080.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,637.70 : 470,092.35 = 211,647.30 : x
  2. Step 2: Convert to fraction form
    340,637.70/470,092.35 = 211,647.30/x
  3. Step 3: Cross multiply
    340,637.70x = 470,092.35 × 211,647.30
  4. Step 4: Simplify right side
    340,637.70x = 99,493,778,137.25
  5. Step 5: Solve for x
    x = 99,493,778,137.25/340,637.70
  6. Step 6: Final answer
    x = 292,080.93

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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.