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Finding the Fourth Proportional to 312,279.64, 430,946.16 and 169,039.24

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Solution

The fourth proportional to 312,279.64, 430,946.16 and 169,039.24 is: 233,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,279.64 : 430,946.16 = 169,039.24 : x
  2. Step 2: Convert to fraction form
    312,279.64/430,946.16 = 169,039.24/x
  3. Step 3: Cross multiply
    312,279.64x = 430,946.16 × 169,039.24
  4. Step 4: Simplify right side
    312,279.64x = 72,846,811,367.32
  5. Step 5: Solve for x
    x = 72,846,811,367.32/312,279.64
  6. Step 6: Final answer
    x = 233,274.29

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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.