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Finding the Fourth Proportional to 422,555.34, 634,082.10 and 156,502.68

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Solution

The fourth proportional to 422,555.34, 634,082.10 and 156,502.68 is: 234,846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,555.34 : 634,082.10 = 156,502.68 : x
  2. Step 2: Convert to fraction form
    422,555.34/634,082.10 = 156,502.68/x
  3. Step 3: Cross multiply
    422,555.34x = 634,082.10 × 156,502.68
  4. Step 4: Simplify right side
    422,555.34x = 99,235,547,990.03
  5. Step 5: Solve for x
    x = 99,235,547,990.03/422,555.34
  6. Step 6: Final answer
    x = 234,846.28

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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.