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Finding the Fourth Proportional to 545,136, 752,294.81 and 300,149.25

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Solution

The fourth proportional to 545,136, 752,294.81 and 300,149.25 is: 414,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,136 : 752,294.81 = 300,149.25 : x
  2. Step 2: Convert to fraction form
    545,136/752,294.81 = 300,149.25/x
  3. Step 3: Cross multiply
    545,136x = 752,294.81 × 300,149.25
  4. Step 4: Simplify right side
    545,136x = 225,800,721,499.65
  5. Step 5: Solve for x
    x = 225,800,721,499.65/545,136
  6. Step 6: Final answer
    x = 414,209.89

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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.