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Finding the Fourth Proportional to 708,136.94, 977,201.52 and 385,849.44

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Solution

The fourth proportional to 708,136.94, 977,201.52 and 385,849.44 is: 532,457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,136.94 : 977,201.52 = 385,849.44 : x
  2. Step 2: Convert to fraction form
    708,136.94/977,201.52 = 385,849.44/x
  3. Step 3: Cross multiply
    708,136.94x = 977,201.52 × 385,849.44
  4. Step 4: Simplify right side
    708,136.94x = 377,052,659,259.15
  5. Step 5: Solve for x
    x = 377,052,659,259.15/708,136.94
  6. Step 6: Final answer
    x = 532,457.27

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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.