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Finding the Fourth Proportional to 686,770.20, 947,724.90 and 380,845.80

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Solution

The fourth proportional to 686,770.20, 947,724.90 and 380,845.80 is: 525,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,770.20 : 947,724.90 = 380,845.80 : x
  2. Step 2: Convert to fraction form
    686,770.20/947,724.90 = 380,845.80/x
  3. Step 3: Cross multiply
    686,770.20x = 947,724.90 × 380,845.80
  4. Step 4: Simplify right side
    686,770.20x = 360,937,047,720.42
  5. Step 5: Solve for x
    x = 360,937,047,720.42/686,770.20
  6. Step 6: Final answer
    x = 525,557.24

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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.