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Finding the Fourth Proportional to 672,642, 1,008,489.92 and 312,430.41

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Solution

The fourth proportional to 672,642, 1,008,489.92 and 312,430.41 is: 468,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,642 : 1,008,489.92 = 312,430.41 : x
  2. Step 2: Convert to fraction form
    672,642/1,008,489.92 = 312,430.41/x
  3. Step 3: Cross multiply
    672,642x = 1,008,489.92 × 312,430.41
  4. Step 4: Simplify right side
    672,642x = 315,082,919,186.47
  5. Step 5: Solve for x
    x = 315,082,919,186.47/672,642
  6. Step 6: Final answer
    x = 468,425.88

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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.