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Finding the Fourth Proportional to 709,361.96, 978,943.14 and 387,089.75

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Solution

The fourth proportional to 709,361.96, 978,943.14 and 387,089.75 is: 534,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,361.96 : 978,943.14 = 387,089.75 : x
  2. Step 2: Convert to fraction form
    709,361.96/978,943.14 = 387,089.75/x
  3. Step 3: Cross multiply
    709,361.96x = 978,943.14 × 387,089.75
  4. Step 4: Simplify right side
    709,361.96x = 378,938,850,432.10
  5. Step 5: Solve for x
    x = 378,938,850,432.10/709,361.96
  6. Step 6: Final answer
    x = 534,196.74

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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.