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Finding the Fourth Proportional to 809,347.70, 1,215,005.70 and 409,782.80

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Solution

The fourth proportional to 809,347.70, 1,215,005.70 and 409,782.80 is: 615,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,347.70 : 1,215,005.70 = 409,782.80 : x
  2. Step 2: Convert to fraction form
    809,347.70/1,215,005.70 = 409,782.80/x
  3. Step 3: Cross multiply
    809,347.70x = 1,215,005.70 × 409,782.80
  4. Step 4: Simplify right side
    809,347.70x = 497,888,437,761.96
  5. Step 5: Solve for x
    x = 497,888,437,761.96/809,347.70
  6. Step 6: Final answer
    x = 615,172.49

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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.