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Finding the Fourth Proportional to 540,937, 810,443.22 and 461,242.72

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Solution

The fourth proportional to 540,937, 810,443.22 and 461,242.72 is: 691,043.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,937 : 810,443.22 = 461,242.72 : x
  2. Step 2: Convert to fraction form
    540,937/810,443.22 = 461,242.72/x
  3. Step 3: Cross multiply
    540,937x = 810,443.22 × 461,242.72
  4. Step 4: Simplify right side
    540,937x = 373,811,035,198.36
  5. Step 5: Solve for x
    x = 373,811,035,198.36/540,937
  6. Step 6: Final answer
    x = 691,043.57

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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.