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Finding the Fourth Proportional to 709,136.75, 978,608.72 and 386,848.13

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Solution

The fourth proportional to 709,136.75, 978,608.72 and 386,848.13 is: 533,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,136.75 : 978,608.72 = 386,848.13 : x
  2. Step 2: Convert to fraction form
    709,136.75/978,608.72 = 386,848.13/x
  3. Step 3: Cross multiply
    709,136.75x = 978,608.72 × 386,848.13
  4. Step 4: Simplify right side
    709,136.75x = 378,572,953,333.69
  5. Step 5: Solve for x
    x = 378,572,953,333.69/709,136.75
  6. Step 6: Final answer
    x = 533,850.42

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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.