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Finding the Fourth Proportional to 783,521, 1,175,614.06 and 428,119.84

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Solution

The fourth proportional to 783,521, 1,175,614.06 and 428,119.84 is: 642,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,521 : 1,175,614.06 = 428,119.84 : x
  2. Step 2: Convert to fraction form
    783,521/1,175,614.06 = 428,119.84/x
  3. Step 3: Cross multiply
    783,521x = 1,175,614.06 × 428,119.84
  4. Step 4: Simplify right side
    783,521x = 503,303,703,268.95
  5. Step 5: Solve for x
    x = 503,303,703,268.95/783,521
  6. Step 6: Final answer
    x = 642,361.47

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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.