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Finding the Fourth Proportional to 306,143.90, 422,483.64 and 168,328.66

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Solution

The fourth proportional to 306,143.90, 422,483.64 and 168,328.66 is: 232,296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,143.90 : 422,483.64 = 168,328.66 : x
  2. Step 2: Convert to fraction form
    306,143.90/422,483.64 = 168,328.66/x
  3. Step 3: Cross multiply
    306,143.90x = 422,483.64 × 168,328.66
  4. Step 4: Simplify right side
    306,143.90x = 71,116,104,993.12
  5. Step 5: Solve for x
    x = 71,116,104,993.12/306,143.90
  6. Step 6: Final answer
    x = 232,296.33

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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.