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Finding the Fourth Proportional to 378,419.76, 521,676.63 and 297,707.13

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Solution

The fourth proportional to 378,419.76, 521,676.63 and 297,707.13 is: 410,408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,419.76 : 521,676.63 = 297,707.13 : x
  2. Step 2: Convert to fraction form
    378,419.76/521,676.63 = 297,707.13/x
  3. Step 3: Cross multiply
    378,419.76x = 521,676.63 × 297,707.13
  4. Step 4: Simplify right side
    378,419.76x = 155,306,852,305.37
  5. Step 5: Solve for x
    x = 155,306,852,305.37/378,419.76
  6. Step 6: Final answer
    x = 410,408.94

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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.