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Finding the Fourth Proportional to 461,272.11, 691,904.06 and 145,729.01

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Solution

The fourth proportional to 461,272.11, 691,904.06 and 145,729.01 is: 218,592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,272.11 : 691,904.06 = 145,729.01 : x
  2. Step 2: Convert to fraction form
    461,272.11/691,904.06 = 145,729.01/x
  3. Step 3: Cross multiply
    461,272.11x = 691,904.06 × 145,729.01
  4. Step 4: Simplify right side
    461,272.11x = 100,830,493,678.78
  5. Step 5: Solve for x
    x = 100,830,493,678.78/461,272.11
  6. Step 6: Final answer
    x = 218,592.22

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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.