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Finding the Fourth Proportional to 306,386.10, 422,806.68 and 170,417.12

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Solution

The fourth proportional to 306,386.10, 422,806.68 and 170,417.12 is: 235,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,386.10 : 422,806.68 = 170,417.12 : x
  2. Step 2: Convert to fraction form
    306,386.10/422,806.68 = 170,417.12/x
  3. Step 3: Cross multiply
    306,386.10x = 422,806.68 × 170,417.12
  4. Step 4: Simplify right side
    306,386.10x = 72,053,494,608.33
  5. Step 5: Solve for x
    x = 72,053,494,608.33/306,386.10
  6. Step 6: Final answer
    x = 235,172.20

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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.