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Finding the Fourth Proportional to 664,342, 916,319.64 and 443,468.08

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Solution

The fourth proportional to 664,342, 916,319.64 and 443,468.08 is: 611,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,342 : 916,319.64 = 443,468.08 : x
  2. Step 2: Convert to fraction form
    664,342/916,319.64 = 443,468.08/x
  3. Step 3: Cross multiply
    664,342x = 916,319.64 × 443,468.08
  4. Step 4: Simplify right side
    664,342x = 406,358,511,417.09
  5. Step 5: Solve for x
    x = 406,358,511,417.09/664,342
  6. Step 6: Final answer
    x = 611,670.66

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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.