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Finding the Fourth Proportional to 664,360.63, 916,967.64 and 406,452.58

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Solution

The fourth proportional to 664,360.63, 916,967.64 and 406,452.58 is: 560,996.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,360.63 : 916,967.64 = 406,452.58 : x
  2. Step 2: Convert to fraction form
    664,360.63/916,967.64 = 406,452.58/x
  3. Step 3: Cross multiply
    664,360.63x = 916,967.64 × 406,452.58
  4. Step 4: Simplify right side
    664,360.63x = 372,703,865,157.94
  5. Step 5: Solve for x
    x = 372,703,865,157.94/664,360.63
  6. Step 6: Final answer
    x = 560,996.31

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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.