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Finding the Fourth Proportional to 815,674.50, 1,126,039.80 and 509,920.80

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Solution

The fourth proportional to 815,674.50, 1,126,039.80 and 509,920.80 is: 703,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,674.50 : 1,126,039.80 = 509,920.80 : x
  2. Step 2: Convert to fraction form
    815,674.50/1,126,039.80 = 509,920.80/x
  3. Step 3: Cross multiply
    815,674.50x = 1,126,039.80 × 509,920.80
  4. Step 4: Simplify right side
    815,674.50x = 574,191,115,647.84
  5. Step 5: Solve for x
    x = 574,191,115,647.84/815,674.50
  6. Step 6: Final answer
    x = 703,946.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.