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Finding the Fourth Proportional to 461,271.11, 691,902.56 and 145,728.01

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Solution

The fourth proportional to 461,271.11, 691,902.56 and 145,728.01 is: 218,590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,271.11 : 691,902.56 = 145,728.01 : x
  2. Step 2: Convert to fraction form
    461,271.11/691,902.56 = 145,728.01/x
  3. Step 3: Cross multiply
    461,271.11x = 691,902.56 × 145,728.01
  4. Step 4: Simplify right side
    461,271.11x = 100,829,583,592.18
  5. Step 5: Solve for x
    x = 100,829,583,592.18/461,271.11
  6. Step 6: Final answer
    x = 218,590.72

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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.