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Finding the Fourth Proportional to 638,136, 880,638.66 and 412,175.16

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Solution

The fourth proportional to 638,136, 880,638.66 and 412,175.16 is: 568,808.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,136 : 880,638.66 = 412,175.16 : x
  2. Step 2: Convert to fraction form
    638,136/880,638.66 = 412,175.16/x
  3. Step 3: Cross multiply
    638,136x = 880,638.66 × 412,175.16
  4. Step 4: Simplify right side
    638,136x = 362,977,380,587.69
  5. Step 5: Solve for x
    x = 362,977,380,587.69/638,136
  6. Step 6: Final answer
    x = 568,808.81

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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.