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Finding the Fourth Proportional to 312,336.10, 431,018.66 and 169,094.98

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Solution

The fourth proportional to 312,336.10, 431,018.66 and 169,094.98 is: 233,348.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,336.10 : 431,018.66 = 169,094.98 : x
  2. Step 2: Convert to fraction form
    312,336.10/431,018.66 = 169,094.98/x
  3. Step 3: Cross multiply
    312,336.10x = 431,018.66 × 169,094.98
  4. Step 4: Simplify right side
    312,336.10x = 72,883,091,692.33
  5. Step 5: Solve for x
    x = 72,883,091,692.33/312,336.10
  6. Step 6: Final answer
    x = 233,348.28

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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.