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Finding the Fourth Proportional to 309,811.80, 464,717.70 and 275,986.20

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Solution

The fourth proportional to 309,811.80, 464,717.70 and 275,986.20 is: 413,979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,811.80 : 464,717.70 = 275,986.20 : x
  2. Step 2: Convert to fraction form
    309,811.80/464,717.70 = 275,986.20/x
  3. Step 3: Cross multiply
    309,811.80x = 464,717.70 × 275,986.20
  4. Step 4: Simplify right side
    309,811.80x = 128,255,672,095.74
  5. Step 5: Solve for x
    x = 128,255,672,095.74/309,811.80
  6. Step 6: Final answer
    x = 413,979.30

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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.