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Finding the Fourth Proportional to 312,404.16, 431,117.10 and 169,164.60

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Solution

The fourth proportional to 312,404.16, 431,117.10 and 169,164.60 is: 233,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,404.16 : 431,117.10 = 169,164.60 : x
  2. Step 2: Convert to fraction form
    312,404.16/431,117.10 = 169,164.60/x
  3. Step 3: Cross multiply
    312,404.16x = 431,117.10 × 169,164.60
  4. Step 4: Simplify right side
    312,404.16x = 72,929,751,774.66
  5. Step 5: Solve for x
    x = 72,929,751,774.66/312,404.16
  6. Step 6: Final answer
    x = 233,446.80

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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.