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Finding the Fourth Proportional to 422,959.14, 634,580.82 and 156,741.12

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Solution

The fourth proportional to 422,959.14, 634,580.82 and 156,741.12 is: 235,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,959.14 : 634,580.82 = 156,741.12 : x
  2. Step 2: Convert to fraction form
    422,959.14/634,580.82 = 156,741.12/x
  3. Step 3: Cross multiply
    422,959.14x = 634,580.82 × 156,741.12
  4. Step 4: Simplify right side
    422,959.14x = 99,464,908,457.32
  5. Step 5: Solve for x
    x = 99,464,908,457.32/422,959.14
  6. Step 6: Final answer
    x = 235,164.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.