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Finding the Fourth Proportional to 306,140.16, 422,478.48 and 168,324.91

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Solution

The fourth proportional to 306,140.16, 422,478.48 and 168,324.91 is: 232,291.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,140.16 : 422,478.48 = 168,324.91 : x
  2. Step 2: Convert to fraction form
    306,140.16/422,478.48 = 168,324.91/x
  3. Step 3: Cross multiply
    306,140.16x = 422,478.48 × 168,324.91
  4. Step 4: Simplify right side
    306,140.16x = 71,113,652,122.94
  5. Step 5: Solve for x
    x = 71,113,652,122.94/306,140.16
  6. Step 6: Final answer
    x = 232,291.16

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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.