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Finding the Fourth Proportional to 690,503,203.11, 1,036,409,623.08 and 427,391,865.45

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Solution

The fourth proportional to 690,503,203.11, 1,036,409,623.08 and 427,391,865.45 is: 641,493,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,503,203.11 : 1,036,409,623.08 = 427,391,865.45 : x
  2. Step 2: Convert to fraction form
    690,503,203.11/1,036,409,623.08 = 427,391,865.45/x
  3. Step 3: Cross multiply
    690,503,203.11x = 1,036,409,623.08 × 427,391,865.45
  4. Step 4: Simplify right side
    690,503,203.11x = 442,953,042,178,492,608
  5. Step 5: Solve for x
    x = 442,953,042,178,492,608/690,503,203.11
  6. Step 6: Final answer
    x = 641,493,102.69

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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.