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Finding the Fourth Proportional to 454,762.80, 682,144.20 and 155,143.80

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Solution

The fourth proportional to 454,762.80, 682,144.20 and 155,143.80 is: 232,715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,762.80 : 682,144.20 = 155,143.80 : x
  2. Step 2: Convert to fraction form
    454,762.80/682,144.20 = 155,143.80/x
  3. Step 3: Cross multiply
    454,762.80x = 682,144.20 × 155,143.80
  4. Step 4: Simplify right side
    454,762.80x = 105,830,443,335.96
  5. Step 5: Solve for x
    x = 105,830,443,335.96/454,762.80
  6. Step 6: Final answer
    x = 232,715.70

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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.