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Finding the Fourth Proportional to 385,401.34, 578,140.84 and 132,648.60

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Solution

The fourth proportional to 385,401.34, 578,140.84 and 132,648.60 is: 198,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,401.34 : 578,140.84 = 132,648.60 : x
  2. Step 2: Convert to fraction form
    385,401.34/578,140.84 = 132,648.60/x
  3. Step 3: Cross multiply
    385,401.34x = 578,140.84 × 132,648.60
  4. Step 4: Simplify right side
    385,401.34x = 76,689,575,362.66
  5. Step 5: Solve for x
    x = 76,689,575,362.66/385,401.34
  6. Step 6: Final answer
    x = 198,986.27

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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.