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Finding the Fourth Proportional to 422,698,511.80, 634,047,767.70 and 267,730,316.20

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Solution

The fourth proportional to 422,698,511.80, 634,047,767.70 and 267,730,316.20 is: 401,595,474.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,698,511.80 : 634,047,767.70 = 267,730,316.20 : x
  2. Step 2: Convert to fraction form
    422,698,511.80/634,047,767.70 = 267,730,316.20/x
  3. Step 3: Cross multiply
    422,698,511.80x = 634,047,767.70 × 267,730,316.20
  4. Step 4: Simplify right side
    422,698,511.80x = 169,753,809,332,225,152
  5. Step 5: Solve for x
    x = 169,753,809,332,225,152/422,698,511.80
  6. Step 6: Final answer
    x = 401,595,474.30

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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.