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Finding the Fourth Proportional to 719,630.86, 992,674.27 and 464,982.05

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Solution

The fourth proportional to 719,630.86, 992,674.27 and 464,982.05 is: 641,406.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,630.86 : 992,674.27 = 464,982.05 : x
  2. Step 2: Convert to fraction form
    719,630.86/992,674.27 = 464,982.05/x
  3. Step 3: Cross multiply
    719,630.86x = 992,674.27 × 464,982.05
  4. Step 4: Simplify right side
    719,630.86x = 461,575,716,308.85
  5. Step 5: Solve for x
    x = 461,575,716,308.85/719,630.86
  6. Step 6: Final answer
    x = 641,406.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.