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Finding the Fourth Proportional to 690,093.64, 1,036,649.49 and 491,689

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Solution

The fourth proportional to 690,093.64, 1,036,649.49 and 491,689 is: 738,608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,093.64 : 1,036,649.49 = 491,689 : x
  2. Step 2: Convert to fraction form
    690,093.64/1,036,649.49 = 491,689/x
  3. Step 3: Cross multiply
    690,093.64x = 1,036,649.49 × 491,689
  4. Step 4: Simplify right side
    690,093.64x = 509,709,151,088.61
  5. Step 5: Solve for x
    x = 509,709,151,088.61/690,093.64
  6. Step 6: Final answer
    x = 738,608.68

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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.