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Finding the Fourth Proportional to 312,310.29, 430,991.64 and 169,073.40

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Solution

The fourth proportional to 312,310.29, 430,991.64 and 169,073.40 is: 233,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,310.29 : 430,991.64 = 169,073.40 : x
  2. Step 2: Convert to fraction form
    312,310.29/430,991.64 = 169,073.40/x
  3. Step 3: Cross multiply
    312,310.29x = 430,991.64 × 169,073.40
  4. Step 4: Simplify right side
    312,310.29x = 72,869,221,946.38
  5. Step 5: Solve for x
    x = 72,869,221,946.38/312,310.29
  6. Step 6: Final answer
    x = 233,323.15

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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.