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Finding the Fourth Proportional to 312,555.69, 431,326.46 and 169,316.33

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Solution

The fourth proportional to 312,555.69, 431,326.46 and 169,316.33 is: 233,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,555.69 : 431,326.46 = 169,316.33 : x
  2. Step 2: Convert to fraction form
    312,555.69/431,326.46 = 169,316.33/x
  3. Step 3: Cross multiply
    312,555.69x = 431,326.46 × 169,316.33
  4. Step 4: Simplify right side
    312,555.69x = 73,030,611,505.75
  5. Step 5: Solve for x
    x = 73,030,611,505.75/312,555.69
  6. Step 6: Final answer
    x = 233,656.32

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Half scale
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Double scale
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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.