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Finding the Fourth Proportional to 312,310.28, 430,988.32 and 169,070.31

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Solution

The fourth proportional to 312,310.28, 430,988.32 and 169,070.31 is: 233,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,310.28 : 430,988.32 = 169,070.31 : x
  2. Step 2: Convert to fraction form
    312,310.28/430,988.32 = 169,070.31/x
  3. Step 3: Cross multiply
    312,310.28x = 430,988.32 × 169,070.31
  4. Step 4: Simplify right side
    312,310.28x = 72,867,329,523.57
  5. Step 5: Solve for x
    x = 72,867,329,523.57/312,310.28
  6. Step 6: Final answer
    x = 233,317.10

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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.