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Finding the Fourth Proportional to 521,509.80, 782,264.70 and 222,000.15

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Solution

The fourth proportional to 521,509.80, 782,264.70 and 222,000.15 is: 333,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,509.80 : 782,264.70 = 222,000.15 : x
  2. Step 2: Convert to fraction form
    521,509.80/782,264.70 = 222,000.15/x
  3. Step 3: Cross multiply
    521,509.80x = 782,264.70 × 222,000.15
  4. Step 4: Simplify right side
    521,509.80x = 173,662,880,739.71
  5. Step 5: Solve for x
    x = 173,662,880,739.71/521,509.80
  6. Step 6: Final answer
    x = 333,000.23

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Similar ratio
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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.