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Finding the Fourth Proportional to 385,534.96, 578,341.72 and 132,782.56

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Solution

The fourth proportional to 385,534.96, 578,341.72 and 132,782.56 is: 199,187.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,534.96 : 578,341.72 = 132,782.56 : x
  2. Step 2: Convert to fraction form
    385,534.96/578,341.72 = 132,782.56/x
  3. Step 3: Cross multiply
    385,534.96x = 578,341.72 × 132,782.56
  4. Step 4: Simplify right side
    385,534.96x = 76,793,694,136.40
  5. Step 5: Solve for x
    x = 76,793,694,136.40/385,534.96
  6. Step 6: Final answer
    x = 199,187.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.