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Finding the Fourth Proportional to 312,304.29, 430,979.82 and 169,064.20

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Solution

The fourth proportional to 312,304.29, 430,979.82 and 169,064.20 is: 233,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,304.29 : 430,979.82 = 169,064.20 : x
  2. Step 2: Convert to fraction form
    312,304.29/430,979.82 = 169,064.20/x
  3. Step 3: Cross multiply
    312,304.29x = 430,979.82 × 169,064.20
  4. Step 4: Simplify right side
    312,304.29x = 72,863,258,484.44
  5. Step 5: Solve for x
    x = 72,863,258,484.44/312,304.29
  6. Step 6: Final answer
    x = 233,308.54

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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.