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Finding the Fourth Proportional to 340,772.25, 470,345.87 and 211,808.14

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Solution

The fourth proportional to 340,772.25, 470,345.87 and 211,808.14 is: 292,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,772.25 : 470,345.87 = 211,808.14 : x
  2. Step 2: Convert to fraction form
    340,772.25/470,345.87 = 211,808.14/x
  3. Step 3: Cross multiply
    340,772.25x = 470,345.87 × 211,808.14
  4. Step 4: Simplify right side
    340,772.25x = 99,623,083,881.38
  5. Step 5: Solve for x
    x = 99,623,083,881.38/340,772.25
  6. Step 6: Final answer
    x = 292,345.06

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1.5x scale

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.