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Finding the Fourth Proportional to 310,000.80, 463,834.80 and 205,024.80

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Solution

The fourth proportional to 310,000.80, 463,834.80 and 205,024.80 is: 306,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,000.80 : 463,834.80 = 205,024.80 : x
  2. Step 2: Convert to fraction form
    310,000.80/463,834.80 = 205,024.80/x
  3. Step 3: Cross multiply
    310,000.80x = 463,834.80 × 205,024.80
  4. Step 4: Simplify right side
    310,000.80x = 95,097,637,103.04
  5. Step 5: Solve for x
    x = 95,097,637,103.04/310,000.80
  6. Step 6: Final answer
    x = 306,765.78

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1.5x scale

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.