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Finding the Fourth Proportional to 217,546, 326,319 and 77,310.16

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Solution

The fourth proportional to 217,546, 326,319 and 77,310.16 is: 115,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,546 : 326,319 = 77,310.16 : x
  2. Step 2: Convert to fraction form
    217,546/326,319 = 77,310.16/x
  3. Step 3: Cross multiply
    217,546x = 326,319 × 77,310.16
  4. Step 4: Simplify right side
    217,546x = 25,227,774,101.04
  5. Step 5: Solve for x
    x = 25,227,774,101.04/217,546
  6. Step 6: Final answer
    x = 115,965.24

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.