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Finding the Fourth Proportional to 461,381.40, 691,326.90 and 261,106.20

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Solution

The fourth proportional to 461,381.40, 691,326.90 and 261,106.20 is: 391,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,381.40 : 691,326.90 = 261,106.20 : x
  2. Step 2: Convert to fraction form
    461,381.40/691,326.90 = 261,106.20/x
  3. Step 3: Cross multiply
    461,381.40x = 691,326.90 × 261,106.20
  4. Step 4: Simplify right side
    461,381.40x = 180,509,739,816.78
  5. Step 5: Solve for x
    x = 180,509,739,816.78/461,381.40
  6. Step 6: Final answer
    x = 391,237.57

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1.5x scale

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.