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Finding the Fourth Proportional to 709,172.16, 978,682.23 and 386,899.98

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Solution

The fourth proportional to 709,172.16, 978,682.23 and 386,899.98 is: 533,935.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,172.16 : 978,682.23 = 386,899.98 : x
  2. Step 2: Convert to fraction form
    709,172.16/978,682.23 = 386,899.98/x
  3. Step 3: Cross multiply
    709,172.16x = 978,682.23 × 386,899.98
  4. Step 4: Simplify right side
    709,172.16x = 378,652,135,213.36
  5. Step 5: Solve for x
    x = 378,652,135,213.36/709,172.16
  6. Step 6: Final answer
    x = 533,935.42

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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.