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Finding the Fourth Proportional to 677,892.26, 935,520.64 and 406,004.42

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Solution

The fourth proportional to 677,892.26, 935,520.64 and 406,004.42 is: 560,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,892.26 : 935,520.64 = 406,004.42 : x
  2. Step 2: Convert to fraction form
    677,892.26/935,520.64 = 406,004.42/x
  3. Step 3: Cross multiply
    677,892.26x = 935,520.64 × 406,004.42
  4. Step 4: Simplify right side
    677,892.26x = 379,825,514,841.23
  5. Step 5: Solve for x
    x = 379,825,514,841.23/677,892.26
  6. Step 6: Final answer
    x = 560,303.66

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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.