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Finding the Fourth Proportional to 306,496.20, 459,744.30 and 213,184.20

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Solution

The fourth proportional to 306,496.20, 459,744.30 and 213,184.20 is: 319,776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,496.20 : 459,744.30 = 213,184.20 : x
  2. Step 2: Convert to fraction form
    306,496.20/459,744.30 = 213,184.20/x
  3. Step 3: Cross multiply
    306,496.20x = 459,744.30 × 213,184.20
  4. Step 4: Simplify right side
    306,496.20x = 98,010,220,800.06
  5. Step 5: Solve for x
    x = 98,010,220,800.06/306,496.20
  6. Step 6: Final answer
    x = 319,776.30

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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.