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Finding the Fourth Proportional to 691,465, 1,037,372.70 and 192,829

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Solution

The fourth proportional to 691,465, 1,037,372.70 and 192,829 is: 289,292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,465 : 1,037,372.70 = 192,829 : x
  2. Step 2: Convert to fraction form
    691,465/1,037,372.70 = 192,829/x
  3. Step 3: Cross multiply
    691,465x = 1,037,372.70 × 192,829
  4. Step 4: Simplify right side
    691,465x = 200,035,540,368.30
  5. Step 5: Solve for x
    x = 200,035,540,368.30/691,465
  6. Step 6: Final answer
    x = 289,292.36

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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.