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Finding the Fourth Proportional to 687,354, 1,029,651.36 and 350,381.04

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Solution

The fourth proportional to 687,354, 1,029,651.36 and 350,381.04 is: 524,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,354 : 1,029,651.36 = 350,381.04 : x
  2. Step 2: Convert to fraction form
    687,354/1,029,651.36 = 350,381.04/x
  3. Step 3: Cross multiply
    687,354x = 1,029,651.36 × 350,381.04
  4. Step 4: Simplify right side
    687,354x = 360,770,314,354.21
  5. Step 5: Solve for x
    x = 360,770,314,354.21/687,354
  6. Step 6: Final answer
    x = 524,868.28

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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.