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Finding the Fourth Proportional to 709,189.16, 978,676.40 and 403,265.56

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Solution

The fourth proportional to 709,189.16, 978,676.40 and 403,265.56 is: 556,503.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,189.16 : 978,676.40 = 403,265.56 : x
  2. Step 2: Convert to fraction form
    709,189.16/978,676.40 = 403,265.56/x
  3. Step 3: Cross multiply
    709,189.16x = 978,676.40 × 403,265.56
  4. Step 4: Simplify right side
    709,189.16x = 394,666,486,504.78
  5. Step 5: Solve for x
    x = 394,666,486,504.78/709,189.16
  6. Step 6: Final answer
    x = 556,503.83

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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.